87:@0.911172:0.510692:0.930079:0.510692:0.930079:0.494068:0.911172:0.494068:0.000000:0.000000 Figuras:@0.333670:0.644647:0.386557:0.644647:0.386557:0.629283:0.333670:0.629283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Congruentes Semejantes:@0.540780:0.644647:0.734387:0.644647:0.734387:0.629283:0.540780:0.629283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Razón de :@0.779418:0.637103:0.852860:0.637103:0.852860:0.621739:0.779418:0.621739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 proporcionalidad:@0.749649:0.652191:0.875694:0.652191:0.875694:0.636827:0.749649:0.636827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.162636:0.704241:0.177544:0.704241:0.177544:0.687340:0.162636:0.687340:0.000000:0.000000 4 m:@0.245130:0.724369:0.273251:0.724369:0.273251:0.707980:0.245130:0.707980:0.000000:0.000000:0.000000 2 m:@0.401636:0.724369:0.429757:0.724369:0.429757:0.707980:0.401636:0.707980:0.000000:0.000000:0.000000 b):@0.162630:0.787283:0.178846:0.787283:0.178846:0.770382:0.162630:0.770382:0.000000:0.000000 c):@0.162636:0.875279:0.176457:0.875279:0.176457:0.858378:0.162636:0.858378:0.000000:0.000000 3. :@0.120105:0.592809:0.137004:0.592809:0.137004:0.575673:0.120105:0.575673:0.000000:0.000000:0.000000 Compara:@0.153349:0.592809:0.223503:0.592809:0.223503:0.576185:0.153349:0.576185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las figuras y :@0.223503:0.592809:0.317576:0.592809:0.317576:0.576420:0.223503:0.576420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 coloca:@0.318000:0.592809:0.367865:0.592809:0.367865:0.576185:0.318000:0.576185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una (x) si son congruentes o semejantes, donde corresponda. En caso :@0.367865:0.592809:0.889846:0.592809:0.889846:0.576420:0.367865:0.576420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de ser semejantes, :@0.153349:0.609405:0.292087:0.609405:0.292087:0.593016:0.153349:0.593016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escribe :@0.292087:0.609405:0.350908:0.609405:0.350908:0.592781:0.292087:0.592781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la razón de proporcionalidad de la primera figura respecto a la segunda.:@0.350908:0.609405:0.876886:0.609405:0.876886:0.593016:0.350908:0.593016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. :@0.120105:0.099896:0.137004:0.099896:0.137004:0.082761:0.120105:0.082761:0.000000:0.000000:0.000000 Calcula:@0.153349:0.099896:0.208779:0.099896:0.208779:0.083272:0.153349:0.083272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el valor desconocido aplicando el teorema de Thales.:@0.208779:0.099896:0.600219:0.099896:0.600219:0.083507:0.208779:0.083507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo:@0.164171:0.167486:0.223675:0.167486:0.223675:0.152122:0.164171:0.152122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4 :@0.777590:0.124094:0.793103:0.124094:0.793103:0.109195:0.777590:0.109195:0.000000:0.000000:0.000000 6:@0.777590:0.141282:0.789434:0.141282:0.789434:0.126383:0.777590:0.126383:0.000000:0.000000 = :@0.794426:0.132166:0.811748:0.132166:0.811748:0.117267:0.794426:0.117267:0.000000:0.000000:0.000000 :@0.811742:0.124094:0.825948:0.124094:0.825948:0.109220:0.811742:0.109220:0.000000:0.000000:0.000000 5:@0.814757:0.124094:0.822932:0.124094:0.822932:0.109195:0.814757:0.109195:0.000000 x:@0.811742:0.141282:0.821542:0.141282:0.821542:0.126408:0.811742:0.126408:0.000000:0.000000 :@0.831694:0.132166:0.835362:0.132166:0.835362:0.117267:0.831694:0.117267:0.000000 4 = 5(6):@0.777600:0.156897:0.835111:0.156897:0.835111:0.141998:0.777600:0.141998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.785775:0.156897:0.792560:0.156897:0.792560:0.142023:0.785775:0.142023:0.000000 x:@0.777600:0.184269:0.784385:0.184269:0.784385:0.169395:0.777600:0.169395:0.000000 = :@0.784385:0.184269:0.801707:0.184269:0.801707:0.169370:0.784385:0.169370:0.000000:0.000000:0.000000 30:@0.801697:0.175968:0.818047:0.175968:0.818047:0.161069:0.801697:0.161069:0.000000:0.000000 4 :@0.801697:0.193155:0.817210:0.193155:0.817210:0.178256:0.801697:0.178256:0.000000:0.000000:0.000000 :@0.821012:0.184266:0.824681:0.184266:0.824681:0.169367:0.821012:0.169367:0.000000 x:@0.777590:0.206483:0.784375:0.206483:0.784375:0.191609:0.777590:0.191609:0.000000 = 7,5 cm:@0.784375:0.206483:0.845823:0.206483:0.845823:0.191584:0.784375:0.191584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.153344:0.238775:0.172066:0.238775:0.172066:0.221875:0.153344:0.221875:0.000000:0.000000:0.000000 b) :@0.153344:0.393412:0.173375:0.393412:0.173375:0.376511:0.153344:0.376511:0.000000:0.000000:0.000000 c) :@0.513144:0.238775:0.530779:0.238775:0.530779:0.221875:0.513144:0.221875:0.000000:0.000000:0.000000 d) :@0.513144:0.393412:0.533211:0.393412:0.533211:0.376511:0.513144:0.376511:0.000000:0.000000:0.000000 4 cm:@0.353317:0.152615:0.389657:0.152615:0.389657:0.136226:0.353317:0.136226:0.000000:0.000000:0.000000:0.000000 6 cm:@0.588712:0.152615:0.625051:0.152615:0.625051:0.136226:0.588712:0.136226:0.000000:0.000000:0.000000:0.000000 5 cm:@0.371597:0.181009:0.407937:0.181009:0.407937:0.164620:0.371597:0.164620:0.000000:0.000000:0.000000:0.000000 x:@0.531899:0.181009:0.539363:0.181009:0.539363:0.164647:0.531899:0.164647:0.000000 4 cm:@0.645166:0.262112:0.681505:0.262112:0.681505:0.245723:0.645166:0.245723:0.000000:0.000000:0.000000:0.000000 3 cm:@0.794669:0.262112:0.831009:0.262112:0.831009:0.245723:0.794669:0.245723:0.000000:0.000000:0.000000:0.000000 6 cm:@0.666800:0.303160:0.703139:0.303160:0.703139:0.286771:0.666800:0.286771:0.000000:0.000000:0.000000:0.000000 x:@0.788127:0.303160:0.795591:0.303160:0.795591:0.286799:0.788127:0.286799:0.000000 1 cm:@0.427148:0.252536:0.463488:0.252536:0.463488:0.236148:0.427148:0.236148:0.000000:0.000000:0.000000:0.000000 2 cm:@0.309912:0.252536:0.346251:0.252536:0.346251:0.236148:0.309912:0.236148:0.000000:0.000000:0.000000:0.000000 4 cm:@0.427148:0.293502:0.463488:0.293502:0.463488:0.277113:0.427148:0.277113:0.000000:0.000000:0.000000:0.000000 x:@0.253339:0.285978:0.260802:0.285978:0.260802:0.269617:0.253339:0.269617:0.000000 6 cm:@0.283158:0.394210:0.319498:0.394210:0.319498:0.377821:0.283158:0.377821:0.000000:0.000000:0.000000:0.000000 2 cm:@0.370487:0.394210:0.406826:0.394210:0.406826:0.377821:0.370487:0.377821:0.000000:0.000000:0.000000:0.000000 9 cm:@0.283158:0.490345:0.319498:0.490345:0.319498:0.473956:0.283158:0.473956:0.000000:0.000000:0.000000:0.000000 x:@0.381654:0.450057:0.389117:0.450057:0.389117:0.433696:0.381654:0.433696:0.000000 2 cm:@0.674610:0.401157:0.704323:0.401157:0.704323:0.384768:0.674610:0.384768:0.000000:0.000000:0.000000:0.000000 10 cm:@0.707649:0.433267:0.752981:0.433267:0.752981:0.416878:0.707649:0.416878:0.000000:0.000000:0.000000:0.000000:0.000000 12 cm:@0.615787:0.483236:0.661119:0.483236:0.661119:0.466847:0.615787:0.466847:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.614681:0.435779:0.622145:0.435779:0.622145:0.419418:0.614681:0.419418:0.000000 20 m:@0.161251:0.505705:0.198364:0.505705:0.198364:0.489316:0.161251:0.489316:0.000000:0.000000:0.000000:0.000000 5 m:@0.252104:0.884648:0.277668:0.884648:0.277668:0.869749:0.252104:0.869749:0.000000:0.000000:0.000000 3 m:@0.233643:0.847570:0.259207:0.847570:0.259207:0.832671:0.233643:0.832671:0.000000:0.000000:0.000000 4 m:@0.200323:0.871786:0.225887:0.871786:0.225887:0.856887:0.200323:0.856887:0.000000:0.000000:0.000000 20 m:@0.429738:0.857934:0.463478:0.857934:0.463478:0.843035:0.429738:0.843035:0.000000:0.000000:0.000000:0.000000 16 m:@0.413271:0.907636:0.447010:0.907636:0.447010:0.892737:0.413271:0.892737:0.000000:0.000000:0.000000:0.000000 12 m:@0.310160:0.868810:0.343899:0.868810:0.343899:0.853911:0.310160:0.853911:0.000000:0.000000:0.000000:0.000000 X:@0.583676:0.792002:0.592823:0.792002:0.592823:0.777103:0.583676:0.777103:0.000000 X:@0.687759:0.703098:0.696906:0.703098:0.696906:0.688199:0.687759:0.688199:0.000000 r :@0.779244:0.703098:0.787067:0.703098:0.787067:0.688224:0.779244:0.688224:0.000000:0.000000 = 4/2 = 2:@0.787067:0.703098:0.848448:0.703098:0.848448:0.688199:0.787067:0.688199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r :@0.757398:0.866245:0.765222:0.866245:0.765222:0.851371:0.757398:0.851371:0.000000:0.000000 = 5/20 = 3/12 = :@0.765222:0.866245:0.874330:0.866245:0.874330:0.851346:0.765222:0.851346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4/16 = 1/4:@0.779043:0.882942:0.849001:0.882942:0.849001:0.868043:0.779043:0.868043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 X:@0.687759:0.878089:0.696906:0.878089:0.696906:0.863190:0.687759:0.863190:0.000000 x:@0.285718:0.356133:0.292503:0.356133:0.292503:0.341259:0.285718:0.341259:0.000000 = 8 cm:@0.292503:0.356133:0.342860:0.356133:0.342860:0.341234:0.292503:0.341234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.285718:0.555088:0.292503:0.555088:0.292503:0.540214:0.285718:0.540214:0.000000 = 3 cm:@0.292503:0.555088:0.342860:0.555088:0.342860:0.540189:0.292503:0.540189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.661776:0.356133:0.668561:0.356133:0.668561:0.341259:0.661776:0.341259:0.000000 = 4,5 cm:@0.668561:0.356133:0.730008:0.356133:0.730008:0.341234:0.668561:0.341234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.661776:0.555088:0.668561:0.555088:0.668561:0.540214:0.661776:0.540214:0.000000 = 2,4 cm:@0.668561:0.555088:0.730008:0.555088:0.730008:0.540189:0.668561:0.540189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000