120:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Figuras planas:@0.073089:0.043661:0.202227:0.043661:0.202227:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 1:@0.293660:0.136836:0.369443:0.136836:0.369443:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuántas diagonales se pueden trazar en un hexágono?:@0.293660:0.164198:0.698447:0.164198:0.698447:0.147764:0.293660:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.293660:0.195138:0.359794:0.195138:0.359794:0.178469:0.293660:0.178469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 N :@0.494786:0.230187:0.512835:0.230187:0.512835:0.215272:0.494786:0.215272:0.000000:0.000000:0.000000 d:@0.504950:0.233071:0.509858:0.233071:0.509858:0.224376:0.504950:0.224376:0.000000 5 :@0.512768:0.229683:0.530807:0.229683:0.530807:0.217214:0.512768:0.217214:0.000000:0.000000 n n:@0.534757:0.223132:0.556327:0.223132:0.556327:0.208217:0.534757:0.208217:0.000000:0.000000:0.000000 (:@0.543324:0.223132:0.547759:0.223132:0.547759:0.208192:0.543324:0.208192:0.000000 2:@0.556260:0.222627:0.570199:0.222627:0.570199:0.210159:0.556260:0.210159:0.000000 3):@0.570115:0.223132:0.582649:0.223132:0.582649:0.208192:0.570115:0.208192:0.000000:0.000000 2:@0.554620:0.237101:0.562786:0.237101:0.562786:0.222161:0.554620:0.222161:0.000000 :@0.586597:0.230187:0.593859:0.230187:0.593859:0.215247:0.586597:0.215247:0.000000:0.000000 N :@0.606848:0.230187:0.624897:0.230187:0.624897:0.215272:0.606848:0.215272:0.000000:0.000000:0.000000 d:@0.617012:0.233071:0.621919:0.233071:0.621919:0.224376:0.617012:0.224376:0.000000 5 :@0.624830:0.229683:0.642869:0.229683:0.642869:0.217214:0.624830:0.217214:0.000000:0.000000 6(6 3):@0.645828:0.223132:0.692766:0.223132:0.692766:0.208192:0.645828:0.208192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.666377:0.222627:0.680316:0.222627:0.680316:0.210159:0.666377:0.210159:0.000000 2:@0.665206:0.237101:0.673372:0.237101:0.673372:0.222161:0.665206:0.222161:0.000000 :@0.695713:0.230502:0.699744:0.230502:0.699744:0.214068:0.695713:0.214068:0.000000 5 :@0.699662:0.229683:0.717701:0.229683:0.717701:0.217214:0.699662:0.217214:0.000000:0.000000 9 :@0.717618:0.230187:0.729449:0.230187:0.729449:0.215247:0.717618:0.215247:0.000000:0.000000 E:@0.607425:0.381946:0.612056:0.381946:0.612056:0.372587:0.607425:0.372587:0.000000 F:@0.522779:0.346155:0.527368:0.346155:0.527368:0.336796:0.522779:0.336796:0.000000 A:@0.522779:0.283894:0.528418:0.283894:0.528418:0.274534:0.522779:0.274534:0.000000 B:@0.607320:0.253119:0.612360:0.253119:0.612360:0.243760:0.607320:0.243760:0.000000 C:@0.691404:0.283889:0.697053:0.283889:0.697053:0.274530:0.691404:0.274530:0.000000 D:@0.690459:0.346159:0.697032:0.346159:0.697032:0.336800:0.690459:0.336800:0.000000 1.3 Suma de los ángulos internos de un polígono:@0.293660:0.416548:0.676249:0.416548:0.676249:0.399601:0.293660:0.399601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La suma de los ángulos internos de un polígono de lados está dada por la expresión :@0.307173:0.446657:0.917612:0.446657:0.917612:0.430223:0.307173:0.430223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.673852:0.446657:0.683350:0.446657:0.683350:0.430251:0.673852:0.430251:0.000000 ((:@0.307161:0.466877:0.316843:0.466877:0.316843:0.450443:0.307161:0.450443:0.000000:0.000000 n :@0.316751:0.466877:0.329489:0.466877:0.329489:0.450470:0.316751:0.450470:0.000000:0.000000 2 3:@0.329434:0.466322:0.373703:0.466322:0.373703:0.452606:0.329434:0.452606:0.000000:0.000000:0.000000 2) 180)° :@0.344675:0.466877:0.414586:0.466877:0.414586:0.450443:0.344675:0.450443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 2:@0.293650:0.501561:0.369433:0.501561:0.369433:0.484891:0.293650:0.484891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuántos grados suman los ángulos internos de un cuadrilátero?:@0.293650:0.532501:0.761802:0.532501:0.761802:0.516067:0.293650:0.516067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.293650:0.563441:0.359784:0.563441:0.359784:0.546771:0.293650:0.546771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Un cuadrilátero tiene 4 lados, por lo que 4.:@0.293650:0.594381:0.632067:0.594381:0.632067:0.577947:0.293650:0.577947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.587375:0.594381:0.596873:0.594381:0.596873:0.577975:0.587375:0.577975:0.000000 5:@0.600757:0.593826:0.616090:0.593826:0.616090:0.580110:0.600757:0.580110:0.000000 Utilizamos la ecuación ((:@0.293650:0.625321:0.469395:0.625321:0.469395:0.608887:0.293650:0.608887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n :@0.469163:0.625321:0.481901:0.625321:0.481901:0.608915:0.469163:0.608915:0.000000:0.000000 2 3 :@0.481846:0.624766:0.539092:0.624766:0.539092:0.611050:0.481846:0.611050:0.000000:0.000000:0.000000:0.000000:0.000000 2) :@0.501597:0.625321:0.519341:0.625321:0.519341:0.608887:0.501597:0.608887:0.000000:0.000000:0.000000 180)° y sustituimos por 4::@0.539000:0.625321:0.733510:0.625321:0.733510:0.608887:0.539000:0.608887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.678895:0.625321:0.688394:0.625321:0.688394:0.608915:0.678895:0.608915:0.000000 ((4 :@0.470949:0.656261:0.493498:0.656261:0.493498:0.639827:0.470949:0.639827:0.000000:0.000000:0.000000:0.000000 2 3 :@0.493387:0.655706:0.550634:0.655706:0.550634:0.641990:0.493387:0.641990:0.000000:0.000000:0.000000:0.000000:0.000000 2) :@0.513138:0.656261:0.530883:0.656261:0.530883:0.639827:0.513138:0.639827:0.000000:0.000000:0.000000 180)° ((2) :@0.550542:0.656261:0.637884:0.656261:0.637884:0.639827:0.550542:0.639827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.591332:0.655706:0.606665:0.655706:0.606665:0.641990:0.591332:0.641990:0.000000 3 :@0.637774:0.655706:0.657617:0.655706:0.657617:0.641990:0.637774:0.641990:0.000000:0.000000 180)° 360°:@0.657525:0.656261:0.749653:0.656261:0.749653:0.639827:0.657525:0.639827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.698315:0.655706:0.713648:0.655706:0.713648:0.641990:0.698315:0.641990:0.000000 Por tanto, la suma de los ángulos internos de un cuadrilátero es igual a 360°.:@0.293668:0.687201:0.842961:0.687201:0.842961:0.670767:0.293668:0.670767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 3:@0.293668:0.718141:0.369451:0.718141:0.369451:0.701471:0.293668:0.701471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuántos grados suman los ángulos internos de un pentágono?:@0.293668:0.749080:0.756981:0.749080:0.756981:0.732647:0.293668:0.732647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.293668:0.780020:0.359802:0.780020:0.359802:0.763351:0.293668:0.763351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Un pentágono tiene 5 lados, por lo que :@0.293668:0.810960:0.596008:0.810960:0.596008:0.794527:0.293668:0.794527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.582552:0.810960:0.592050:0.810960:0.592050:0.794554:0.582552:0.794554:0.000000 5 :@0.595934:0.810406:0.615777:0.810406:0.615777:0.796690:0.595934:0.796690:0.000000:0.000000 5:@0.615685:0.810960:0.624668:0.810960:0.624668:0.794527:0.615685:0.794527:0.000000 Utilizamos la ecuación ((:@0.293668:0.841900:0.469414:0.841900:0.469414:0.825466:0.293668:0.825466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n :@0.469182:0.841900:0.481919:0.841900:0.481919:0.825494:0.469182:0.825494:0.000000:0.000000 2 3 :@0.481864:0.841346:0.539111:0.841346:0.539111:0.827630:0.481864:0.827630:0.000000:0.000000:0.000000:0.000000:0.000000 2) :@0.501615:0.841900:0.519360:0.841900:0.519360:0.825466:0.501615:0.825466:0.000000:0.000000:0.000000 180°) y sustituimos por 5::@0.539019:0.841900:0.733528:0.841900:0.733528:0.825466:0.539019:0.825466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.678914:0.841900:0.688412:0.841900:0.688412:0.825494:0.678914:0.825494:0.000000 ((5 2) :@0.479434:0.872840:0.530920:0.872840:0.530920:0.856406:0.479434:0.856406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 3 :@0.497934:0.872286:0.550671:0.872286:0.550671:0.858570:0.497934:0.858570:0.000000:0.000000:0.000000:0.000000 180°) :@0.550579:0.872840:0.591479:0.872840:0.591479:0.856406:0.550579:0.856406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 3 :@0.591369:0.872286:0.648616:0.872286:0.648616:0.858570:0.591369:0.858570:0.000000:0.000000:0.000000:0.000000:0.000000 (3 :@0.611120:0.872840:0.628865:0.872840:0.628865:0.856406:0.611120:0.856406:0.000000:0.000000:0.000000 180°) :@0.648524:0.872840:0.689424:0.872840:0.689424:0.856406:0.648524:0.856406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.689314:0.872286:0.709157:0.872286:0.709157:0.858570:0.689314:0.858570:0.000000:0.000000 540°:@0.709065:0.872840:0.741204:0.872840:0.741204:0.856406:0.709065:0.856406:0.000000:0.000000:0.000000:0.000000 Por tanto, la suma de los ángulos internos de un pentágono es igual a 540°:@0.293687:0.903780:0.835011:0.903780:0.835011:0.887346:0.293687:0.887346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 1 (Ev. 3) Construye representaciones geométricas y pictóricas para ilustrar relaciones entre cantidades.:@0.355515:0.971366:0.916389:0.971366:0.916389:0.959414:0.355515:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulo llano:@0.147938:0.181934:0.188344:0.181934:0.188344:0.174867:0.147938:0.174867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulo llano::@0.078581:0.234859:0.170413:0.234859:0.170413:0.219705:0.078581:0.219705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mide 180°.:@0.170296:0.234859:0.243708:0.234859:0.243708:0.219919:0.170296:0.219919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulos :@0.078578:0.249988:0.139536:0.249988:0.139536:0.234834:0.078578:0.234834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 complementarios::@0.078578:0.265117:0.203853:0.265117:0.203853:0.249963:0.078578:0.249963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.203798:0.265117:0.207462:0.265117:0.207462:0.250177:0.203798:0.250177:0.000000 sumados dan 90°.:@0.078578:0.280246:0.195414:0.280246:0.195414:0.265306:0.078578:0.265306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 65º :@0.145207:0.304625:0.157392:0.304625:0.157392:0.297524:0.145207:0.297524:0.000000:0.000000:0.000000:0.000000 25º :@0.174699:0.315112:0.186883:0.315112:0.186883:0.308011:0.174699:0.308011:0.000000:0.000000:0.000000:0.000000 65 + 25 = 90:@0.160653:0.327767:0.200388:0.327767:0.200388:0.320666:0.160653:0.320666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ángulos suplementarios::@0.078581:0.347064:0.250058:0.347064:0.250058:0.331910:0.078581:0.331910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.249986:0.347064:0.253651:0.347064:0.253651:0.332124:0.249986:0.332124:0.000000 sumados dan 180°.:@0.078581:0.362193:0.203516:0.362193:0.203516:0.347253:0.078581:0.347253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.198090:0.419558:0.203649:0.419558:0.203649:0.409387:0.198090:0.409387:0.000000 A:@0.217549:0.373241:0.223667:0.373241:0.223667:0.363086:0.217549:0.363086:0.000000 0:@0.164150:0.436005:0.169710:0.436005:0.169710:0.425833:0.164150:0.425833:0.000000 B:@0.082974:0.430880:0.088443:0.430880:0.088443:0.420726:0.082974:0.420726:0.000000 C:@0.245325:0.430880:0.251455:0.430880:0.251455:0.420726:0.245325:0.420726:0.000000 1:@0.134003:0.401395:0.139563:0.401395:0.139563:0.391224:0.134003:0.391224:0.000000 Ángulos alternos internos: :@0.078581:0.455026:0.262811:0.455026:0.262811:0.439871:0.078581:0.439871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 deben estar en distinto :@0.078581:0.470155:0.234902:0.470155:0.234902:0.455215:0.078581:0.455215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lado de la transversal y los :@0.078581:0.485283:0.253125:0.485283:0.253125:0.470344:0.078581:0.470344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos quedan dentro de las :@0.078581:0.500412:0.250967:0.500412:0.250967:0.485473:0.078581:0.485473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 paralelas.:@0.078581:0.515541:0.139117:0.515541:0.139117:0.500602:0.078581:0.500602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ]:@0.108802:0.529889:0.122742:0.529889:0.122742:0.518164:0.108802:0.518164:0.000000 d:@0.122658:0.530670:0.131075:0.530670:0.131075:0.515756:0.122658:0.515756:0.000000 y :@0.131008:0.530670:0.145567:0.530670:0.145567:0.515730:0.131008:0.515730:0.000000:0.000000:0.000000 ] ]:@0.145483:0.529889:0.186715:0.529889:0.186715:0.518164:0.145483:0.518164:0.000000:0.000000:0.000000 e:@0.159339:0.530670:0.166417:0.530670:0.166417:0.515756:0.159339:0.515756:0.000000 ; :@0.166350:0.530670:0.172860:0.530670:0.172860:0.515730:0.166350:0.515730:0.000000:0.000000 c:@0.186631:0.530670:0.193593:0.530670:0.193593:0.515756:0.186631:0.515756:0.000000 y :@0.193526:0.530670:0.208084:0.530670:0.208084:0.515730:0.193526:0.515730:0.000000:0.000000:0.000000 ]:@0.208001:0.529889:0.221940:0.529889:0.221940:0.518164:0.208001:0.518164:0.000000 f:@0.221856:0.530670:0.226123:0.530670:0.226123:0.515756:0.221856:0.515756:0.000000 .:@0.226056:0.530670:0.228968:0.530670:0.228968:0.515730:0.226056:0.515730:0.000000 Ángulos alternos externos: :@0.078564:0.545799:0.261837:0.545799:0.261837:0.530645:0.078564:0.530645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 deben estar en distinto :@0.078564:0.560928:0.231204:0.560928:0.231204:0.545988:0.078564:0.545988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lado de la transversal y los :@0.078564:0.576057:0.248590:0.576057:0.248590:0.561117:0.078564:0.561117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dos quedan afuera de las :@0.078564:0.591186:0.243604:0.591186:0.243604:0.576246:0.078564:0.576246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 paralelas :@0.078564:0.606315:0.138771:0.606315:0.138771:0.591375:0.078564:0.591375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.166171:0.624132:0.185594:0.624132:0.185594:0.613852:0.166171:0.613852:0.000000:0.000000:0.000000 c d:@0.162169:0.634994:0.181742:0.634994:0.181742:0.624714:0.162169:0.624714:0.000000:0.000000:0.000000 e f:@0.155987:0.647064:0.172550:0.647064:0.172550:0.636784:0.155987:0.636784:0.000000:0.000000:0.000000 g h:@0.151985:0.657926:0.171708:0.657926:0.171708:0.647646:0.151985:0.647646:0.000000:0.000000:0.000000 ]:@0.106552:0.683938:0.120492:0.683938:0.120492:0.672213:0.106552:0.672213:0.000000 g:@0.120241:0.684719:0.128658:0.684719:0.128658:0.669805:0.120241:0.669805:0.000000 y :@0.128424:0.684719:0.142647:0.684719:0.142647:0.669780:0.128424:0.669780:0.000000:0.000000:0.000000 ] ]:@0.142396:0.683938:0.184298:0.683938:0.184298:0.672213:0.142396:0.672213:0.000000:0.000000:0.000000 b:@0.156085:0.684719:0.164502:0.684719:0.164502:0.669805:0.156085:0.669805:0.000000 ; :@0.164268:0.684719:0.170610:0.684719:0.170610:0.669780:0.164268:0.669780:0.000000:0.000000 a:@0.184047:0.684719:0.192464:0.684719:0.192464:0.669805:0.184047:0.669805:0.000000 y :@0.192230:0.684719:0.206454:0.684719:0.206454:0.669780:0.192230:0.669780:0.000000:0.000000:0.000000 ]:@0.206203:0.683938:0.220142:0.683938:0.220142:0.672213:0.206203:0.672213:0.000000 h:@0.219891:0.684719:0.228526:0.684719:0.228526:0.669805:0.219891:0.669805:0.000000 .:@0.228291:0.684719:0.231203:0.684719:0.231203:0.669780:0.228291:0.669780:0.000000 Competencia :@0.078581:0.145724:0.187141:0.145724:0.187141:0.128778:0.078581:0.128778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078581:0.162366:0.176057:0.162366:0.176057:0.145419:0.078581:0.145419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000