199:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000 11. :@0.096359:0.599298:0.125327:0.599298:0.125327:0.582162:0.096359:0.582162:0.000000:0.000000:0.000000:0.000000 De la siguiente figura se conoce que: N es punto :@0.124848:0.599298:0.489787:0.599298:0.489787:0.583628:0.124848:0.583628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de :@0.124848:0.619670:0.147846:0.619670:0.147846:0.604000:0.124848:0.604000:0.000000:0.000000:0.000000 MP:@0.150084:0.619980:0.174730:0.619980:0.174730:0.602132:0.150084:0.602132:0.000000:0.000000 , Q es punto de :@0.178982:0.619666:0.291925:0.619666:0.291925:0.603996:0.178982:0.603996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 PR NQ:@0.293757:0.619980:0.350541:0.619980:0.350541:0.602132:0.293757:0.602132:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.316373:0.619666:0.323615:0.619666:0.323615:0.603996:0.316373:0.603996:0.000000:0.000000 y :@0.354750:0.619666:0.370229:0.619666:0.370229:0.603996:0.354750:0.603996:0.000000:0.000000:0.000000 MR:@0.372469:0.619980:0.397316:0.619980:0.397316:0.602132:0.372469:0.602132:0.000000:0.000000 son parale-:@0.401366:0.619666:0.485747:0.619666:0.485747:0.603996:0.401366:0.603996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las.:@0.124841:0.636262:0.146991:0.636262:0.146991:0.620592:0.124841:0.620592:0.000000:0.000000:0.000000:0.000000 Demuestra:@0.146991:0.636262:0.238262:0.636262:0.238262:0.619362:0.146991:0.619362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.238262:0.636262:0.242168:0.636262:0.242168:0.619638:0.238262:0.619638:0.000000 que los triángulos :@0.242004:0.636262:0.376821:0.636262:0.376821:0.620592:0.242004:0.620592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 NPQ MSR:@0.376655:0.636262:0.455341:0.636262:0.455341:0.619901:0.376655:0.619901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.408572:0.636262:0.424585:0.636262:0.424585:0.620592:0.408572:0.620592:0.000000:0.000000:0.000000 son :@0.455341:0.636262:0.489801:0.636262:0.489801:0.620592:0.455341:0.620592:0.000000:0.000000:0.000000:0.000000:0.000000 semejantes. :@0.124841:0.652859:0.215301:0.652859:0.215301:0.637189:0.124841:0.637189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 M:@0.164178:0.669353:0.174604:0.669353:0.174604:0.657957:0.164178:0.657957:0.000000 N:@0.287328:0.669353:0.295878:0.669353:0.295878:0.657957:0.287328:0.657957:0.000000 P:@0.404246:0.669353:0.410974:0.669353:0.410974:0.657957:0.404246:0.657957:0.000000 Q:@0.409151:0.709878:0.418144:0.709878:0.418144:0.698482:0.409151:0.698482:0.000000 R:@0.410264:0.750826:0.417032:0.750826:0.417032:0.739430:0.410264:0.739430:0.000000 S:@0.165370:0.750826:0.171589:0.750826:0.171589:0.739430:0.165370:0.739430:0.000000 12. :@0.096359:0.780698:0.125327:0.780698:0.125327:0.763563:0.096359:0.763563:0.000000:0.000000:0.000000:0.000000 En la figura, :@0.124851:0.781013:0.226260:0.781013:0.226260:0.763918:0.124851:0.763918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 BDEF:@0.228643:0.781013:0.268527:0.781013:0.268527:0.763164:0.228643:0.763164:0.000000:0.000000:0.000000:0.000000 es un paralelogramo. :@0.268527:0.781013:0.452367:0.781013:0.452367:0.763918:0.268527:0.763918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 De-:@0.454740:0.781013:0.485758:0.781013:0.485758:0.762576:0.454740:0.762576:0.000000:0.000000:0.000000 muestra :@0.124851:0.799118:0.200499:0.799118:0.200499:0.780681:0.124851:0.780681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que los triángulos :@0.204057:0.799118:0.359008:0.799118:0.359008:0.782024:0.204057:0.782024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 AFE:@0.362767:0.799118:0.391213:0.799118:0.391213:0.781269:0.362767:0.781269:0.000000:0.000000:0.000000 y :@0.391213:0.799118:0.412622:0.799118:0.412622:0.782024:0.391213:0.782024:0.000000:0.000000:0.000000 CDE:@0.416381:0.799118:0.448646:0.799118:0.448646:0.781269:0.416381:0.781269:0.000000:0.000000:0.000000 son :@0.448646:0.799118:0.490179:0.799118:0.490179:0.782024:0.448646:0.782024:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.485758:0.799118:0.490161:0.799118:0.490161:0.782024:0.485758:0.782024:0.000000 semejantes.:@0.124851:0.817223:0.219132:0.817223:0.219132:0.800129:0.124851:0.800129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.304273:0.833655:0.312113:0.833655:0.312113:0.822259:0.304273:0.822259:0.000000 B:@0.235280:0.887296:0.242048:0.887296:0.242048:0.875900:0.235280:0.875900:0.000000 C:@0.326051:0.887296:0.333690:0.887296:0.333690:0.875900:0.326051:0.875900:0.000000 D:@0.385355:0.894327:0.394026:0.894327:0.394026:0.882931:0.385355:0.882931:0.000000 E:@0.332457:0.947958:0.338702:0.947958:0.338702:0.936562:0.332457:0.936562:0.000000 F:@0.189311:0.947958:0.195503:0.947958:0.195503:0.936562:0.189311:0.936562:0.000000 7. :@0.096359:0.068331:0.115100:0.068331:0.115100:0.051195:0.096359:0.051195:0.000000:0.000000:0.000000 Encuentra:@0.124848:0.068331:0.206556:0.068331:0.206556:0.051430:0.124848:0.051430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la solución del siguiente problema.:@0.206648:0.068331:0.469924:0.068331:0.469924:0.052661:0.206648:0.052661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096359:0.092050:0.100082:0.092050:0.100082:0.074914:0.096359:0.074914:0.000000 Un triángulo tiene como medidas de sus lados 6,4 , :@0.124848:0.092050:0.489771:0.092050:0.489771:0.076380:0.124848:0.076380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.468413:0.092050:0.483044:0.092050:0.483044:0.075688:0.468413:0.075688:0.000000 6 y 5 , mientras que otro triángulo tiene como :@0.124830:0.108646:0.489769:0.108646:0.489769:0.092976:0.124830:0.092976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.137010:0.108646:0.151642:0.108646:0.151642:0.092285:0.137010:0.092285:0.000000 m:@0.178307:0.108646:0.192938:0.108646:0.192938:0.092285:0.178307:0.092285:0.000000 medidas 3,2 , 3 y 2,5 . ¿Cuál es la razón de :@0.124830:0.125242:0.489678:0.125242:0.489678:0.109573:0.124830:0.109573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.219290:0.125242:0.233921:0.125242:0.233921:0.108881:0.219290:0.108881:0.000000 m:@0.256219:0.125242:0.270850:0.125242:0.270850:0.108881:0.256219:0.108881:0.000000 m:@0.315298:0.125242:0.329929:0.125242:0.329929:0.108881:0.315298:0.108881:0.000000 semejanza? ¿Son semejantes estos triángulos?:@0.124830:0.141839:0.463414:0.141839:0.463414:0.126169:0.124830:0.126169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8. :@0.096341:0.172708:0.115082:0.172708:0.115082:0.155572:0.096341:0.155572:0.000000:0.000000:0.000000 Resuelve:@0.124830:0.172708:0.195922:0.172708:0.195922:0.155807:0.124830:0.155807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Si :@0.195922:0.172708:0.220891:0.172708:0.220891:0.157038:0.195922:0.157038:0.000000:0.000000:0.000000:0.000000:0.000000 ABC:@0.236783:0.172028:0.267226:0.172028:0.272445:0.156358:0.242003:0.156358:0.000000:0.000000:0.000000 DEF:@0.300548:0.172028:0.329369:0.172028:0.334588:0.156358:0.305768:0.156358:0.000000:0.000000:0.000000 , la longitud del lado:@0.331214:0.172709:0.485783:0.172709:0.485783:0.157039:0.331214:0.157039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.485783:0.172709:0.489100:0.172709:0.489100:0.156348:0.485783:0.156348:0.000000 EF:@0.124843:0.189306:0.141023:0.189306:0.141023:0.172944:0.124843:0.172944:0.000000:0.000000 es el triple del lado :@0.141023:0.189306:0.286159:0.189306:0.286159:0.173636:0.141023:0.173636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 BC:@0.288633:0.190406:0.307337:0.190406:0.307337:0.174044:0.288633:0.174044:0.000000:0.000000 , ¿qué longitudes tienen :@0.309396:0.189306:0.489784:0.189306:0.489784:0.173636:0.309396:0.173636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los lados respectivos de :@0.124843:0.205902:0.302500:0.205902:0.302500:0.190232:0.124843:0.190232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DEF:@0.313754:0.205967:0.342575:0.205967:0.347795:0.190298:0.318974:0.190298:0.000000:0.000000:0.000000 ?:@0.348099:0.205902:0.355120:0.205902:0.355120:0.190232:0.348099:0.190232:0.000000 :@0.096358:0.322118:0.100081:0.322118:0.100081:0.304982:0.096358:0.304982:0.000000 A:@0.133454:0.277068:0.140082:0.277068:0.140082:0.267233:0.133454:0.267233:0.000000 B:@0.175289:0.232840:0.181345:0.232840:0.181345:0.223004:0.175289:0.223004:0.000000 C:@0.246472:0.277068:0.252948:0.277068:0.252948:0.267233:0.246472:0.267233:0.000000 D:@0.292262:0.317487:0.299812:0.317487:0.299812:0.307651:0.292262:0.307651:0.000000 E:@0.354693:0.222461:0.360177:0.222461:0.360177:0.212626:0.354693:0.212626:0.000000 F:@0.467126:0.317487:0.472553:0.317487:0.472553:0.307651:0.467126:0.307651:0.000000 5:@0.151950:0.252982:0.159134:0.252982:0.159134:0.241096:0.151950:0.241096:0.000000 8:@0.190347:0.279698:0.197530:0.279698:0.197530:0.267812:0.190347:0.267812:0.000000 7:@0.216603:0.252982:0.223786:0.252982:0.223786:0.241096:0.216603:0.241096:0.000000 9. :@0.096359:0.345837:0.115100:0.345837:0.115100:0.328701:0.096359:0.328701:0.000000:0.000000:0.000000 Dada la siguiente figura, :@0.124848:0.345837:0.292411:0.345837:0.292411:0.330167:0.124848:0.330167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 demuestra:@0.290660:0.345837:0.373455:0.345837:0.373455:0.328936:0.290660:0.328936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 : :@0.373087:0.345837:0.379960:0.345837:0.379960:0.330167:0.373087:0.330167:0.000000:0.000000 ABC:@0.387409:0.346867:0.417852:0.346867:0.423071:0.331197:0.392629:0.331197:0.000000:0.000000:0.000000 EDC:@0.448504:0.346867:0.479315:0.346867:0.484534:0.331197:0.453723:0.331197:0.000000:0.000000:0.000000 :@0.096359:0.421587:0.100082:0.421587:0.100082:0.404451:0.096359:0.404451:0.000000 10. :@0.096359:0.460547:0.125327:0.460547:0.125327:0.443411:0.096359:0.443411:0.000000:0.000000:0.000000:0.000000 Emplea:@0.124848:0.460547:0.184351:0.460547:0.184351:0.443646:0.124848:0.443646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los criterios de semejanza y :@0.184351:0.460547:0.401132:0.460547:0.401132:0.444877:0.184351:0.444877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 determina:@0.402901:0.460547:0.485788:0.460547:0.485788:0.443646:0.402901:0.443646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.485788:0.460547:0.489824:0.460547:0.489824:0.444877:0.485788:0.444877:0.000000 la solución del problema.:@0.124848:0.477143:0.309104:0.477143:0.309104:0.461473:0.124848:0.461473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096359:0.500862:0.100082:0.500862:0.100082:0.483726:0.096359:0.483726:0.000000 Un triángulo tiene dos lados de longitud 10 :@0.124848:0.500862:0.461576:0.500862:0.461576:0.485192:0.124848:0.485192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.463493:0.500862:0.485790:0.500862:0.485790:0.484501:0.463493:0.484501:0.000000:0.000000 :@0.485790:0.500862:0.489826:0.500862:0.489826:0.485192:0.485790:0.485192:0.000000 y 6 :@0.124848:0.517459:0.152287:0.517459:0.152287:0.501789:0.124848:0.501789:0.000000:0.000000:0.000000:0.000000 cm:@0.154553:0.517459:0.176851:0.517459:0.176851:0.501097:0.154553:0.501097:0.000000:0.000000 y el ángulo comprendido entre ellos de :@0.176851:0.517459:0.489826:0.517459:0.489826:0.501789:0.176851:0.501789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 100 . Otro triángulo tiene lados de 5 :@0.124848:0.534055:0.404451:0.534055:0.404451:0.518385:0.124848:0.518385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 º:@0.151826:0.531538:0.158036:0.531538:0.158036:0.515868:0.151826:0.515868:0.000000 cm:@0.406183:0.534055:0.428480:0.534055:0.428480:0.517694:0.406183:0.517694:0.000000:0.000000 y 3 c :@0.428480:0.534055:0.489771:0.534055:0.489771:0.518385:0.428480:0.518385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.471103:0.534055:0.485735:0.534055:0.485735:0.517694:0.471103:0.517694:0.000000 y el ángulo entre ellos dos es de 100 . ¿Cuál es la :@0.124848:0.550651:0.489789:0.550651:0.489789:0.534982:0.124848:0.534982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 º:@0.394979:0.548134:0.401189:0.548134:0.401189:0.532464:0.394979:0.532464:0.000000 razón de semejanza, si existe?:@0.124848:0.567248:0.341572:0.567248:0.341572:0.551578:0.124848:0.551578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trabajo colaborativo:@0.526495:0.072053:0.690444:0.072053:0.690444:0.055153:0.526495:0.055153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Actividad indagatoria:@0.528338:0.677689:0.700745:0.677689:0.700745:0.660788:0.528338:0.660788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trabajen:@0.523657:0.093275:0.593332:0.093275:0.593332:0.076375:0.523657:0.076375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.593332:0.093275:0.597055:0.093275:0.597055:0.076140:0.593332:0.076140:0.000000 en equipo y :@0.597055:0.093275:0.688622:0.093275:0.688622:0.077606:0.597055:0.077606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resuelvan:@0.688622:0.093275:0.766089:0.093275:0.766089:0.076375:0.688622:0.076375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.766089:0.093275:0.769296:0.093275:0.769296:0.077606:0.766089:0.077606:0.000000 13. :@0.523657:0.116994:0.552626:0.116994:0.552626:0.099859:0.523657:0.099859:0.000000:0.000000:0.000000:0.000000 Dibujen:@0.552146:0.116994:0.615796:0.116994:0.615796:0.100094:0.552146:0.100094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos triángulos semejantes :@0.615796:0.116994:0.823158:0.116994:0.823158:0.101325:0.615796:0.101325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 QRO:@0.836864:0.117163:0.870697:0.117163:0.875917:0.101493:0.842084:0.101493:0.000000:0.000000:0.000000 y :@0.879225:0.117002:0.897856:0.117002:0.897856:0.101332:0.879225:0.101332:0.000000:0.000000:0.000000 DEO:@0.563402:0.133714:0.596074:0.133714:0.601293:0.118044:0.568621:0.118044:0.000000:0.000000:0.000000 , opuestos por el vértice O, con D-O-Q :@0.601992:0.133598:0.897880:0.133598:0.897880:0.117929:0.601992:0.117929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y E-O-R puntos colineales.:@0.552163:0.150195:0.741946:0.150195:0.741946:0.134525:0.552163:0.134525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.523674:0.173914:0.527396:0.173914:0.527396:0.156778:0.523674:0.156778:0.000000 DE:@0.552163:0.173914:0.571825:0.173914:0.571825:0.157552:0.552163:0.157552:0.000000:0.000000 = 6 , :@0.571825:0.173914:0.628822:0.173914:0.628822:0.158244:0.571825:0.158244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m OQ:@0.606949:0.173914:0.653607:0.173914:0.653607:0.157552:0.606949:0.157552:0.000000:0.000000:0.000000:0.000000 = 20 , :@0.653607:0.173914:0.719597:0.173914:0.719597:0.158244:0.653607:0.158244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m DO:@0.697723:0.173914:0.744032:0.173914:0.744032:0.157552:0.697723:0.157552:0.000000:0.000000:0.000000:0.000000 = 10 , :@0.744032:0.173914:0.810021:0.173914:0.810021:0.158244:0.744032:0.158244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m QR:@0.788148:0.173914:0.831876:0.173914:0.831876:0.157552:0.788148:0.157552:0.000000:0.000000:0.000000:0.000000 = 12 , :@0.831876:0.173914:0.897866:0.173914:0.897866:0.158244:0.831876:0.158244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.875992:0.173914:0.890624:0.173914:0.890624:0.157552:0.875992:0.157552:0.000000 :@0.893830:0.173914:0.897866:0.173914:0.897866:0.158244:0.893830:0.158244:0.000000 OR:@0.552163:0.190510:0.573005:0.190510:0.573005:0.174149:0.552163:0.174149:0.000000:0.000000 = 14 , :@0.573005:0.190510:0.635954:0.190510:0.635954:0.174840:0.573005:0.174840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m EO:@0.614080:0.190510:0.655966:0.190510:0.655966:0.174149:0.614080:0.174149:0.000000:0.000000:0.000000:0.000000 = 7 .:@0.655966:0.190510:0.705887:0.190510:0.705887:0.174840:0.655966:0.174840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.688049:0.190510:0.702680:0.190510:0.702680:0.174149:0.688049:0.174149:0.000000 :@0.523674:0.214229:0.527396:0.214229:0.527396:0.197093:0.523674:0.197093:0.000000 Establezcan:@0.552163:0.214229:0.646586:0.214229:0.646586:0.197328:0.552163:0.197328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las respectivas correspondencias :@0.646586:0.214229:0.897845:0.214229:0.897845:0.198559:0.646586:0.198559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entre los lados y los ángulos homólogos y :@0.552145:0.230825:0.897845:0.230825:0.897845:0.215156:0.552145:0.215156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 hallen:@0.552145:0.247422:0.601568:0.247422:0.601568:0.230521:0.552145:0.230521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la razón de semejanza entre los dos :@0.601568:0.247422:0.897884:0.247422:0.897884:0.231752:0.601568:0.231752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 triángulos.:@0.552145:0.264018:0.628894:0.264018:0.628894:0.248348:0.552145:0.248348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 14. :@0.523656:0.287737:0.552624:0.287737:0.552624:0.270601:0.523656:0.270601:0.000000:0.000000:0.000000:0.000000 Los lados del :@0.552145:0.287737:0.656279:0.287737:0.656279:0.272067:0.552145:0.272067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ABC:@0.671777:0.288459:0.700063:0.288459:0.700063:0.273066:0.671777:0.273066:0.000000:0.000000:0.000000 miden respectivamente: :@0.705964:0.287753:0.897867:0.287753:0.897867:0.272084:0.705964:0.272084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.893815:0.287753:0.897851:0.287753:0.897851:0.272084:0.893815:0.272084:0.000000 a:@0.552148:0.304350:0.561417:0.304350:0.561417:0.287989:0.552148:0.287989:0.000000 = 2 :@0.561417:0.304350:0.591841:0.304350:0.591841:0.288680:0.561417:0.288680:0.000000:0.000000:0.000000:0.000000:0.000000 cm b:@0.591012:0.304350:0.628973:0.304350:0.628973:0.287989:0.591012:0.287989:0.000000:0.000000:0.000000:0.000000 , = 3 :@0.613309:0.304350:0.659397:0.304350:0.659397:0.288680:0.613309:0.288680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm c:@0.658568:0.304350:0.694925:0.304350:0.694925:0.287989:0.658568:0.287989:0.000000:0.000000:0.000000:0.000000 , = 4 :@0.680865:0.304350:0.725349:0.304350:0.725349:0.288680:0.680865:0.288680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.724520:0.304350:0.746818:0.304350:0.746818:0.287989:0.724520:0.287989:0.000000:0.000000 ; los lados del :@0.746818:0.304350:0.846106:0.304350:0.846106:0.288680:0.746818:0.288680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DEF:@0.856485:0.304057:0.885306:0.304057:0.890525:0.288387:0.861704:0.288387:0.000000:0.000000:0.000000 :@0.893820:0.304350:0.897856:0.304350:0.897856:0.288680:0.893820:0.288680:0.000000 miden respectivamente: = 8 :@0.552153:0.320946:0.782071:0.320946:0.782071:0.305276:0.552153:0.305276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.737587:0.320946:0.746856:0.320946:0.746856:0.304585:0.737587:0.304585:0.000000 cm e:@0.783637:0.320946:0.822542:0.320946:0.822542:0.304585:0.783637:0.304585:0.000000:0.000000:0.000000:0.000000 , = 12 :@0.805935:0.320946:0.866750:0.320946:0.866750:0.305276:0.805935:0.305276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.868316:0.320946:0.890614:0.320946:0.890614:0.304585:0.868316:0.304585:0.000000:0.000000 , :@0.890614:0.320946:0.897856:0.320946:0.897856:0.305276:0.890614:0.305276:0.000000:0.000000 :@0.893820:0.320946:0.897856:0.320946:0.897856:0.305276:0.893820:0.305276:0.000000 f:@0.552153:0.337543:0.556852:0.337543:0.556852:0.321181:0.552153:0.321181:0.000000 = 16 :@0.556852:0.337543:0.597927:0.337543:0.597927:0.321873:0.556852:0.321873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.597927:0.337543:0.620225:0.337543:0.620225:0.321181:0.597927:0.321181:0.000000:0.000000 . :@0.620225:0.337543:0.627467:0.337543:0.627467:0.321873:0.620225:0.321873:0.000000:0.000000 Resuelvan:@0.627467:0.337543:0.709081:0.337543:0.709081:0.320642:0.627467:0.320642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ::@0.709081:0.337543:0.712287:0.337543:0.712287:0.321873:0.709081:0.321873:0.000000 a) :@0.552153:0.361262:0.570286:0.361262:0.570286:0.344126:0.552153:0.344126:0.000000:0.000000:0.000000 Los dos triángulos son semejantes, :@0.580642:0.361262:0.826707:0.361262:0.826707:0.345592:0.580642:0.345592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 establezcan:@0.580642:0.377858:0.671343:0.377858:0.671343:0.360957:0.580642:0.360957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la relación de proporcionalidad.:@0.670975:0.377858:0.893820:0.377858:0.893820:0.362188:0.670975:0.362188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.552153:0.401577:0.572166:0.401577:0.572166:0.384441:0.552153:0.384441:0.000000:0.000000:0.000000 Hallen:@0.580642:0.401577:0.630987:0.401577:0.630987:0.384676:0.580642:0.384676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los perímetros de ambos triángulos.:@0.630802:0.401577:0.891294:0.401577:0.891294:0.385907:0.630802:0.385907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c) :@0.552153:0.425296:0.569973:0.425296:0.569973:0.408160:0.552153:0.408160:0.000000:0.000000:0.000000 Hallen:@0.580642:0.425296:0.631908:0.425296:0.631908:0.408395:0.580642:0.408395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la razón de los perímetros.:@0.631908:0.425296:0.827827:0.425296:0.827827:0.409626:0.631908:0.409626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d) :@0.552153:0.449015:0.572645:0.449015:0.572645:0.431879:0.552153:0.431879:0.000000:0.000000:0.000000 Encuentren:@0.580642:0.449015:0.672301:0.449015:0.672301:0.432114:0.580642:0.432114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las áreas de los triángulos y :@0.672301:0.449015:0.897891:0.449015:0.897891:0.433345:0.672301:0.433345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 encuentren:@0.580642:0.465611:0.672320:0.465611:0.672320:0.448711:0.580642:0.448711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 su razón.:@0.672320:0.465611:0.741018:0.465611:0.741018:0.449942:0.672320:0.449942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15. :@0.523664:0.489330:0.552632:0.489330:0.552632:0.472194:0.523664:0.472194:0.000000:0.000000:0.000000:0.000000 Resuelvan:@0.552153:0.489330:0.633767:0.489330:0.633767:0.472430:0.552153:0.472430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los siguientes problemas::@0.633767:0.489330:0.822815:0.489330:0.822815:0.473660:0.633767:0.473660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.552153:0.513049:0.571392:0.513049:0.571392:0.495913:0.552153:0.495913:0.000000:0.000000:0.000000 Un terreno mide 144 metros cuadrados de :@0.580642:0.513049:0.897837:0.513049:0.897837:0.497379:0.580642:0.497379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 área. Otro terreno semejante es 10 veces :@0.580642:0.529646:0.897833:0.529646:0.897833:0.513976:0.580642:0.513976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 más grande en cuanto a su área. ¿Cuánto :@0.580642:0.546242:0.897872:0.546242:0.897872:0.530572:0.580642:0.530572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mide el área grande?:@0.580642:0.562838:0.733940:0.562838:0.733940:0.547169:0.580642:0.547169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b) :@0.552153:0.586557:0.572534:0.586557:0.572534:0.569422:0.552153:0.569422:0.000000:0.000000:0.000000 Una torre proyecta una sombra de 79,42 :@0.580642:0.586557:0.897859:0.586557:0.897859:0.570888:0.580642:0.570888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 metros, y un poste que mide 3,05 metros :@0.580661:0.603154:0.897891:0.603154:0.897891:0.587484:0.580661:0.587484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 proyecta una sombra de 5,62 metros. :@0.580661:0.619750:0.897854:0.619750:0.897854:0.604080:0.580661:0.604080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuánto mide la torre? :@0.580661:0.636346:0.749935:0.636346:0.749935:0.620677:0.580661:0.620677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 16. :@0.524714:0.698873:0.553664:0.698873:0.553664:0.681738:0.524714:0.681738:0.000000:0.000000:0.000000:0.000000 Indaga escribe:@0.553185:0.698873:0.681902:0.698873:0.681902:0.681973:0.553185:0.681973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.608689:0.698873:0.624869:0.698873:0.624869:0.683204:0.608689:0.683204:0.000000:0.000000:0.000000 en tu cuaderno.:@0.681902:0.698873:0.801754:0.698873:0.801754:0.683204:0.681902:0.683204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.524696:0.719038:0.528418:0.719038:0.528418:0.701902:0.524696:0.701902:0.000000 ¿Es posible que dos triángulos sean semejantes, :@0.553185:0.719038:0.898867:0.719038:0.898867:0.703368:0.553185:0.703368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si el primero contiene ángulos que miden :@0.553185:0.735634:0.898923:0.735634:0.898923:0.719964:0.553185:0.719964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 50 y 79 , el segundo, 79 , y el tercero, 51 ? :@0.553185:0.752231:0.898869:0.752231:0.898869:0.736561:0.553185:0.736561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 º:@0.571170:0.749713:0.577381:0.749713:0.577381:0.734044:0.571170:0.734044:0.000000 º:@0.618253:0.749713:0.624463:0.749713:0.624463:0.734044:0.618253:0.734044:0.000000 º:@0.748868:0.749713:0.755078:0.749713:0.755078:0.734044:0.748868:0.734044:0.000000 º:@0.881602:0.749713:0.887813:0.749713:0.887813:0.734044:0.881602:0.734044:0.000000 :@0.894833:0.752231:0.898869:0.752231:0.898869:0.736561:0.894833:0.736561:0.000000 ¿Por qué?:@0.553167:0.768827:0.623966:0.768827:0.623966:0.753157:0.553167:0.753157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 17. :@0.524678:0.792546:0.553646:0.792546:0.553646:0.775410:0.524678:0.775410:0.000000:0.000000:0.000000:0.000000 Determina:@0.553167:0.792546:0.639408:0.792546:0.639408:0.775645:0.553167:0.775645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si los siguientes triángulos son :@0.639592:0.792546:0.898853:0.792546:0.898853:0.776876:0.639592:0.776876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 semejantes. :@0.553167:0.809142:0.645653:0.809142:0.645653:0.793473:0.553167:0.793473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Justifica:@0.645839:0.809142:0.711644:0.809142:0.711644:0.792242:0.645839:0.792242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tu respuesta. :@0.711829:0.809142:0.815888:0.809142:0.815888:0.793473:0.711829:0.793473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.312309:0.305682:0.318296:0.305682:0.318296:0.296799:0.312309:0.296799:0.000000 B:@0.312309:0.359077:0.317779:0.359077:0.317779:0.350194:0.312309:0.350194:0.000000 C:@0.477259:0.359077:0.483109:0.359077:0.483109:0.350194:0.477259:0.350194:0.000000 X:@0.312309:0.374242:0.317800:0.374242:0.317800:0.365358:0.312309:0.365358:0.000000 Y:@0.312309:0.427637:0.317758:0.427637:0.317758:0.418754:0.312309:0.418754:0.000000 Z:@0.477259:0.427637:0.482771:0.427637:0.482771:0.418754:0.477259:0.418754:0.000000 A:@0.132703:0.376960:0.138690:0.376960:0.138690:0.368077:0.132703:0.368077:0.000000 B:@0.132703:0.430356:0.138173:0.430356:0.138173:0.421472:0.132703:0.421472:0.000000 C:@0.297653:0.430356:0.303503:0.430356:0.303503:0.421472:0.297653:0.421472:0.000000 X:@0.132703:0.445519:0.138195:0.445519:0.138195:0.436636:0.132703:0.436636:0.000000 Y:@0.132703:0.498915:0.138152:0.498915:0.138152:0.490031:0.132703:0.490031:0.000000 Z:@0.297653:0.498915:0.303166:0.498915:0.303166:0.490031:0.297653:0.490031:0.000000 17, 5:@0.584769:0.884518:0.600119:0.864052:0.584368:0.857397:0.569018:0.877863:0.000000:0.000000:0.000000:0.000000:0.000000 cm:@0.600119:0.864052:0.611197:0.849283:0.595557:0.842675:0.584479:0.857444:0.000000:0.000000:0.000000 7:@0.790108:0.905353:0.794123:0.899988:0.778362:0.893346:0.774348:0.898711:0.000000 cm:@0.794123:0.899988:0.805180:0.885210:0.789531:0.878615:0.778474:0.893393:0.000000:0.000000:0.000000 65:@0.794188:0.921396:0.810586:0.921396:0.810586:0.907830:0.794188:0.907830:0.000000:0.000000 º:@0.810586:0.921396:0.816099:0.921396:0.816099:0.907926:0.810586:0.907926:0.000000 8 :@0.813760:0.938248:0.825347:0.938248:0.825347:0.924682:0.813760:0.924682:0.000000:0.000000 cm:@0.825347:0.938248:0.845021:0.938248:0.845021:0.924778:0.825347:0.924778:0.000000:0.000000 20:@0.628547:0.938248:0.644945:0.938248:0.644945:0.924682:0.628547:0.924682:0.000000:0.000000 cm:@0.644945:0.938248:0.667527:0.938248:0.667527:0.924778:0.644945:0.924778:0.000000:0.000000:0.000000 65:@0.584296:0.918078:0.600693:0.918078:0.600693:0.904512:0.584296:0.904512:0.000000:0.000000 º:@0.600693:0.918078:0.606207:0.918078:0.606207:0.904608:0.600693:0.904608:0.000000 k :@0.130445:0.150807:0.137376:0.150807:0.137376:0.140395:0.130445:0.140395:0.000000:0.000000 = 2:@0.137376:0.150807:0.152655:0.150807:0.152655:0.140835:0.137376:0.140835:0.000000:0.000000:0.000000 k :@0.633437:0.261815:0.640368:0.261815:0.640368:0.251404:0.633437:0.251404:0.000000:0.000000 = 2:@0.640368:0.261815:0.655648:0.261815:0.655648:0.251844:0.640368:0.251844:0.000000:0.000000:0.000000 1 440:@0.581875:0.573181:0.607334:0.573181:0.607334:0.563209:0.581875:0.563209:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.607334:0.573181:0.618756:0.573181:0.618756:0.562769:0.607334:0.562769:0.000000:0.000000 43,1:@0.581875:0.647603:0.601084:0.647603:0.601084:0.637631:0.581875:0.637631:0.000000:0.000000:0.000000:0.000000 m:@0.601084:0.647603:0.612505:0.647603:0.612505:0.637191:0.601084:0.637191:0.000000:0.000000 a) = 4 b) 9 y 36 c) = 4 , d) A1 = 2,9 cm, A2 = 46,5; k = 16:@0.581875:0.475304:0.855494:0.475304:0.855494:0.465332:0.581875:0.465332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.592875:0.475304:0.597695:0.475304:0.597695:0.464892:0.592875:0.464892:0.000000 k:@0.676334:0.475304:0.681153:0.475304:0.681153:0.464892:0.676334:0.464892:0.000000 k :@0.127220:0.576657:0.134151:0.576657:0.134151:0.566246:0.127220:0.566246:0.000000:0.000000 = 2:@0.134151:0.576657:0.149431:0.576657:0.149431:0.566686:0.134151:0.566686:0.000000:0.000000:0.000000 Respuesta abierta:@0.130433:0.441666:0.213397:0.441666:0.213397:0.431694:0.130433:0.431694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Demostración:@0.256284:0.753340:0.322458:0.753340:0.322458:0.743368:0.256284:0.743368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Demostración:@0.236806:0.948442:0.302980:0.948442:0.302980:0.938471:0.236806:0.938471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Respuesta abierta.:@0.637706:0.766594:0.722710:0.766594:0.722710:0.756622:0.637706:0.756622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DE:@0.132711:0.320929:0.143766:0.320929:0.146585:0.312467:0.135530:0.312467:0.000000:0.000000 =:@0.147355:0.321293:0.152818:0.321293:0.152818:0.312884:0.147355:0.312884:0.000000 15:@0.153515:0.320927:0.163117:0.320927:0.163117:0.312466:0.153515:0.312466:0.000000:0.000000 DF:@0.167456:0.320929:0.178471:0.320929:0.181290:0.312467:0.170274:0.312467:0.000000:0.000000 =:@0.182098:0.321293:0.187561:0.321293:0.187561:0.312884:0.182098:0.312884:0.000000 24:@0.188884:0.320927:0.198487:0.320927:0.198487:0.312466:0.188884:0.312466:0.000000:0.000000 Los triángulos sí son semejantes por LAL:@0.675729:0.834994:0.864080:0.834994:0.864080:0.825022:0.675729:0.825022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000 maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000