﻿73:@0.942817:0.964671:0.965053:0.964671:0.965053:0.945025:0.942817:0.945025:0.000000:0.000000
M.3.2.20. Medir ángulos rectos, agudos y obtusos, con el graduador u otras estrategias, para dar solución a situaciones cotidianas.:@0.105857:0.092104:0.733356:0.092104:0.733356:0.081525:0.105857:0.081525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.096359:0.134996:0.186717:0.134996:0.186717:0.115350:0.096359:0.115350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtener la medida de los :@0.096359:0.163562:0.365064:0.163562:0.365064:0.143619:0.096359:0.143619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguientes ángulos::@0.096359:0.184685:0.275142:0.184685:0.275142:0.164742:0.096359:0.164742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clasificación de los ángulos:@0.096359:0.567023:0.373015:0.567023:0.373015:0.545513:0.096359:0.545513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por la medida, los ángulos se clasifican así::@0.096359:0.595274:0.488312:0.595274:0.488312:0.575331:0.096359:0.575331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.099710:0.851361:0.190067:0.851361:0.190067:0.831715:0.099710:0.831715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificar el tipo :@0.096359:0.879926:0.262948:0.879926:0.262948:0.859983:0.096359:0.859983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ángulo.:@0.096359:0.901049:0.193057:0.901049:0.193057:0.881105:0.096359:0.881105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución::@0.395528:0.134996:0.478895:0.134996:0.478895:0.115350:0.395528:0.115350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096362:0.265968:0.186720:0.265968:0.186720:0.246322:0.096362:0.246322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazar un ángulo de 60º.:@0.096359:0.294539:0.321371:0.294539:0.321371:0.274596:0.096359:0.274596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución::@0.096359:0.320966:0.179726:0.320966:0.179726:0.301320:0.096359:0.301320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazamos el :@0.112398:0.353139:0.218893:0.353139:0.218893:0.334621:0.112398:0.334621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lado inicial.:@0.115360:0.372753:0.211162:0.372753:0.211162:0.354234:0.115360:0.354234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O                    R:@0.111745:0.431595:0.214777:0.431595:0.214777:0.413403:0.111745:0.413403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.810958:0.381026:0.820496:0.381026:0.820496:0.362834:0.810958:0.362834:0.000000
O:@0.762414:0.458370:0.776461:0.458370:0.776461:0.440179:0.762414:0.440179:0.000000
R:@0.872176:0.458370:0.882760:0.458370:0.882760:0.440179:0.872176:0.440179:0.000000
mROS:@0.753614:0.486161:0.823294:0.486161:0.823294:0.466569:0.753614:0.466569:0.000000:0.000000:0.000000:0.000000
60º:@0.848835:0.486161:0.880497:0.486161:0.880497:0.466217:0.848835:0.466217:0.000000:0.000000:0.000000
:@0.770571:0.486389:0.787504:0.486389:0.787504:0.465953:0.770571:0.465953:0.000000
=:@0.829720:0.487023:0.842596:0.487023:0.842596:0.467203:0.829720:0.467203:0.000000
Recto:@0.343814:0.945346:0.397451:0.945346:0.397451:0.925403:0.343814:0.925403:0.000000:0.000000:0.000000:0.000000:0.000000
Agudo:@0.484440:0.945346:0.548350:0.945346:0.548350:0.925403:0.484440:0.925403:0.000000:0.000000:0.000000:0.000000:0.000000
Obtuso:@0.660833:0.945346:0.730442:0.945346:0.730442:0.925403:0.660833:0.925403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Agudo:@0.822825:0.945346:0.886449:0.945346:0.886449:0.925403:0.822825:0.925403:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulos:@0.471641:0.627345:0.543792:0.627345:0.543792:0.608827:0.471641:0.608827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recto:@0.198959:0.668860:0.248763:0.668860:0.248763:0.650341:0.198959:0.650341:0.000000:0.000000:0.000000:0.000000:0.000000
Es aquel  que tiene 90º.:@0.148033:0.699653:0.294902:0.699653:0.294902:0.685408:0.148033:0.685408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es aquel  que tiene menos de 90º.:@0.395421:0.699653:0.609835:0.699653:0.609835:0.685408:0.395421:0.685408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es aquel  que tiene más de 90º.:@0.684207:0.699653:0.880880:0.699653:0.880880:0.685408:0.684207:0.685408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Marca de lápiz:@0.462496:0.367395:0.553981:0.367395:0.553981:0.353149:0.462496:0.353149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Origen de la :@0.287680:0.431130:0.369415:0.431130:0.369415:0.416885:0.287680:0.416885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semirrecta:@0.293241:0.447475:0.360201:0.447475:0.360201:0.433229:0.293241:0.433229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Centro del :@0.268934:0.493857:0.339445:0.493857:0.339445:0.479611:0.268934:0.479611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transportador:@0.258246:0.510201:0.346464:0.510201:0.346464:0.495956:0.258246:0.495956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
60:@0.457998:0.405702:0.474013:0.405702:0.474013:0.391457:0.457998:0.391457:0.000000:0.000000
o:@0.473677:0.401302:0.480806:0.401302:0.480806:0.389905:0.473677:0.389905:0.000000
Cero de la escala:@0.609500:0.473852:0.715392:0.473852:0.715392:0.459606:0.609500:0.459606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Agudo:@0.478044:0.668860:0.537389:0.668860:0.537389:0.650341:0.478044:0.650341:0.000000:0.000000:0.000000:0.000000:0.000000
Obtuso:@0.754979:0.668860:0.819617:0.668860:0.819617:0.650341:0.754979:0.650341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
O:@0.320456:0.913500:0.331261:0.913500:0.331261:0.899506:0.320456:0.899506:0.000000
K:@0.399561:0.914393:0.407417:0.914393:0.407417:0.900399:0.399561:0.900399:0.000000
J:@0.324007:0.852760:0.329737:0.852760:0.329737:0.838766:0.324007:0.838766:0.000000
O:@0.510210:0.917064:0.521015:0.917064:0.521015:0.903070:0.510210:0.903070:0.000000
P:@0.560936:0.865226:0.568911:0.865226:0.568911:0.851232:0.560936:0.851232:0.000000
N:@0.472802:0.853646:0.483038:0.853646:0.483038:0.839652:0.472802:0.839652:0.000000
H:@0.626043:0.850736:0.636145:0.850736:0.636145:0.836743:0.626043:0.836743:0.000000
O:@0.672732:0.897935:0.683537:0.897935:0.683537:0.883942:0.672732:0.883942:0.000000
I:@0.751083:0.897935:0.754567:0.897935:0.754567:0.883942:0.751083:0.883942:0.000000
A:@0.851312:0.858092:0.860308:0.858092:0.860308:0.844098:0.851312:0.844098:0.000000
O:@0.809314:0.907730:0.820119:0.907730:0.820119:0.893736:0.809314:0.893736:0.000000
B:@0.884114:0.915274:0.892155:0.915274:0.892155:0.901280:0.884114:0.901280:0.000000
Shutterstock, ( 2020) . 383795032 :@0.088839:0.521412:0.088839:0.447506:0.077069:0.447506:0.077069:0.521412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, ( 2020) . 383795032 :@0.915339:0.271395:0.915339:0.197489:0.903568:0.197489:0.903568:0.271395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, ( 2020) . 532911676:@0.936426:0.813455:0.936426:0.740718:0.924656:0.740718:0.924656:0.813455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.533280:0.260280:0.546156:0.260280:0.546156:0.240460:0.533280:0.240460:0.000000
mRQP:@0.456376:0.259418:0.526901:0.259418:0.526901:0.239826:0.456376:0.239826:0.000000:0.000000:0.000000:0.000000
112º:@0.549815:0.259418:0.592218:0.259418:0.592218:0.239474:0.549815:0.239474:0.000000:0.000000:0.000000:0.000000
:@0.473286:0.259646:0.490220:0.259646:0.490220:0.239210:0.473286:0.239210:0.000000
=:@0.799727:0.262107:0.813758:0.262107:0.813758:0.240508:0.799727:0.240508:0.000000
mZXY:@0.718094:0.261167:0.791983:0.261167:0.791983:0.239817:0.718094:0.239817:0.000000:0.000000:0.000000:0.000000
52º:@0.819355:0.261167:0.853348:0.261167:0.853348:0.239434:0.819355:0.239434:0.000000:0.000000:0.000000
:@0.736521:0.261416:0.754974:0.261416:0.754974:0.239146:0.736521:0.239146:0.000000
Q:@0.514246:0.220008:0.529983:0.220008:0.529983:0.200064:0.514246:0.200064:0.000000
P:@0.478526:0.155495:0.490300:0.155495:0.490300:0.135552:0.478526:0.135552:0.000000
R:@0.645092:0.230340:0.656936:0.230340:0.656936:0.210397:0.645092:0.210397:0.000000
Alineamos :@0.240992:0.357475:0.337339:0.357475:0.337339:0.338956:0.240992:0.338956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el graduador :@0.240992:0.377088:0.356852:0.377088:0.356852:0.358570:0.240992:0.358570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el lado inicial.:@0.240992:0.396702:0.383746:0.396702:0.383746:0.378184:0.240992:0.378184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
112º:@0.554609:0.263389:0.596849:0.263389:0.596849:0.243446:0.554609:0.243446:0.000000:0.000000:0.000000:0.000000
52º:@0.822892:0.264287:0.853686:0.264287:0.853686:0.244344:0.822892:0.244344:0.000000:0.000000:0.000000
60º:@0.849324:0.489895:0.880118:0.489895:0.880118:0.469951:0.849324:0.469951:0.000000:0.000000:0.000000
Shutterstock, 128108447:@0.424394:0.894806:0.424394:0.841495:0.412624:0.841495:0.412624:0.894806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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