﻿239:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial:@0.721207:0.043660:0.914624:0.043660:0.914624:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.073089:0.136836:0.149461:0.136836:0.149461:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado que :@0.073089:0.157056:0.149313:0.157056:0.149313:0.141343:0.073089:0.141343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅∡:@0.149184:0.157639:0.204811:0.157639:0.204811:0.139984:0.149184:0.139984:0.000000:0.000000:0.000000:0.000000
A:@0.164426:0.157056:0.174310:0.157056:0.174310:0.140650:0.164426:0.140650:0.000000
C:@0.204719:0.157056:0.214622:0.157056:0.214622:0.140650:0.204719:0.140650:0.000000
 y que :@0.214549:0.157056:0.262978:0.157056:0.262978:0.141343:0.214549:0.141343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB BC:@0.263342:0.156983:0.316919:0.156900:0.316919:0.140494:0.263342:0.140577:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.283675:0.157635:0.299008:0.157635:0.299008:0.139981:0.283675:0.139981:0.000000
, demuestra que :@0.317635:0.157052:0.439564:0.157052:0.439564:0.141340:0.317635:0.141340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.439380:0.157635:0.451658:0.157635:0.451658:0.139981:0.439380:0.139981:0.000000
CBE:@0.451566:0.157052:0.478275:0.157052:0.478275:0.140646:0.451566:0.140646:0.000000:0.000000:0.000000
≅∆:@0.478220:0.157635:0.505738:0.157635:0.505738:0.139981:0.478220:0.139981:0.000000:0.000000
ABD:@0.505646:0.157052:0.535742:0.157052:0.535742:0.140646:0.505646:0.140646:0.000000:0.000000:0.000000
C:@0.596235:0.188272:0.606727:0.188272:0.606727:0.172559:0.596235:0.172559:0.000000
A:@0.595959:0.283824:0.606727:0.283824:0.606727:0.268111:0.595959:0.268111:0.000000
B:@0.393277:0.237282:0.402572:0.237282:0.402572:0.221570:0.393277:0.221570:0.000000
D:@0.507845:0.202290:0.519755:0.202290:0.519755:0.186578:0.507845:0.186578:0.000000
E:@0.509520:0.271742:0.518098:0.271742:0.518098:0.256030:0.509520:0.256030:0.000000
Hipótesis::@0.077386:0.321087:0.151688:0.321087:0.151688:0.304417:0.077386:0.304417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.151585:0.321087:0.155616:0.321087:0.155616:0.305374:0.151585:0.305374:0.000000
∡ ≅∡:@0.155543:0.321669:0.211170:0.321669:0.211170:0.304015:0.155543:0.304015:0.000000:0.000000:0.000000:0.000000
A:@0.170784:0.321087:0.180669:0.321087:0.180669:0.304680:0.170784:0.304680:0.000000
C  AB BC:@0.211077:0.321087:0.290179:0.320935:0.290179:0.304529:0.211077:0.304680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.224165:0.321087:0.236222:0.321087:0.236222:0.305374:0.224165:0.305374:0.000000:0.000000
≅:@0.256936:0.321669:0.272269:0.321669:0.272269:0.304015:0.256936:0.304015:0.000000
Tesis::@0.077386:0.342142:0.116773:0.342142:0.116773:0.325473:0.077386:0.325473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.116685:0.342142:0.120716:0.342142:0.120716:0.326430:0.116685:0.326430:0.000000
∆:@0.120643:0.342725:0.132920:0.342725:0.132920:0.325070:0.120643:0.325070:0.000000
CBE:@0.132828:0.342142:0.159537:0.342142:0.159537:0.325736:0.132828:0.325736:0.000000:0.000000:0.000000
≅∆:@0.159482:0.342725:0.187001:0.342725:0.187001:0.325070:0.159482:0.325070:0.000000:0.000000
ABD:@0.186909:0.342142:0.217005:0.342142:0.217005:0.325736:0.186909:0.325736:0.000000:0.000000:0.000000
Demostración:@0.077404:0.358257:0.184654:0.358257:0.184654:0.341588:0.077404:0.341588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proposiciones:@0.233774:0.374372:0.339882:0.374372:0.339882:0.357702:0.233774:0.357702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Argumentos:@0.663859:0.374372:0.762614:0.374372:0.762614:0.357702:0.663859:0.357702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅∡:@0.254095:0.394994:0.309722:0.394994:0.309722:0.377340:0.254095:0.377340:0.000000:0.000000:0.000000:0.000000
A:@0.269336:0.394411:0.279221:0.394411:0.279221:0.378005:0.269336:0.378005:0.000000
C:@0.309630:0.394411:0.319533:0.394411:0.319533:0.378005:0.309630:0.378005:0.000000
Dado en la hipótesis.:@0.503808:0.391208:0.654293:0.391208:0.654293:0.375495:0.503808:0.375495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB BC:@0.259841:0.414387:0.313418:0.414304:0.313418:0.397897:0.259841:0.397981:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.280174:0.415037:0.295508:0.415037:0.295508:0.397383:0.280174:0.397383:0.000000
Dado en la hipótesis.:@0.503796:0.411253:0.654280:0.411253:0.654280:0.395540:0.503796:0.395540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.165341:0.435078:0.180675:0.435078:0.180675:0.417424:0.165341:0.417424:0.000000
B :@0.180583:0.434496:0.192658:0.434496:0.192658:0.418090:0.180583:0.418090:0.000000:0.000000
es común a los dos triángulos:@0.192603:0.434496:0.408457:0.434496:0.408457:0.418783:0.192603:0.418783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado en la gráfica.:@0.503814:0.431292:0.637793:0.431292:0.637793:0.415579:0.503814:0.415579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.238621:0.455118:0.250898:0.455118:0.250898:0.437463:0.238621:0.437463:0.000000
CBE:@0.250806:0.454535:0.277515:0.454535:0.277515:0.438129:0.250806:0.438129:0.000000:0.000000:0.000000
≅∆:@0.277460:0.455118:0.304979:0.455118:0.304979:0.437463:0.277460:0.437463:0.000000:0.000000
ABD:@0.304887:0.454535:0.334983:0.454535:0.334983:0.438129:0.304887:0.438129:0.000000:0.000000:0.000000
Por el :@0.503814:0.451332:0.548242:0.451332:0.548242:0.435619:0.503814:0.435619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
postulado ALA.:@0.548120:0.451332:0.663902:0.451332:0.663902:0.434662:0.548120:0.434662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.238621:0.475157:0.250898:0.475157:0.250898:0.457503:0.238621:0.457503:0.000000
CBE:@0.250806:0.474575:0.277515:0.474575:0.277515:0.458169:0.250806:0.458169:0.000000:0.000000:0.000000
≅∆:@0.277460:0.475157:0.304979:0.475157:0.304979:0.457503:0.277460:0.457503:0.000000:0.000000
ABD:@0.304887:0.474575:0.334983:0.474575:0.334983:0.458169:0.304887:0.458169:0.000000:0.000000:0.000000
Conclusión del teorema.:@0.503814:0.471371:0.680465:0.471371:0.680465:0.455658:0.503814:0.455658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 5:@0.073103:0.503712:0.149474:0.503712:0.149474:0.487042:0.073103:0.487042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se sabe que :@0.073103:0.527496:0.179368:0.527496:0.179368:0.511783:0.073103:0.511783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BE EC:@0.178439:0.527419:0.230898:0.527336:0.230898:0.510930:0.178439:0.511013:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.197250:0.528071:0.212583:0.528071:0.212583:0.510416:0.197250:0.510416:0.000000
 :@0.232592:0.528071:0.237193:0.528071:0.237193:0.510416:0.232592:0.510416:0.000000
y que :@0.237101:0.527488:0.281573:0.527488:0.281573:0.511775:0.237101:0.511775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AE DE:@0.281936:0.527488:0.336885:0.527419:0.336885:0.511013:0.281936:0.511082:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.301634:0.528071:0.316967:0.528071:0.316967:0.510416:0.301634:0.510416:0.000000
, demuestra que :@0.338656:0.527488:0.460585:0.527488:0.460585:0.511775:0.338656:0.511775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.460401:0.528071:0.472679:0.528071:0.472679:0.510416:0.460401:0.510416:0.000000
AEB:@0.472587:0.527488:0.499278:0.527488:0.499278:0.511082:0.472587:0.511082:0.000000:0.000000:0.000000
≅∆:@0.499222:0.528071:0.526741:0.528071:0.526741:0.510416:0.499222:0.510416:0.000000:0.000000
DEC:@0.526649:0.527488:0.556045:0.527488:0.556045:0.511082:0.526649:0.511082:0.000000:0.000000:0.000000
C:@0.544251:0.559738:0.554744:0.559738:0.554744:0.544025:0.544251:0.544025:0.000000
A:@0.406676:0.705479:0.417444:0.705479:0.417444:0.689766:0.406676:0.689766:0.000000
B:@0.446417:0.559738:0.455713:0.559738:0.455713:0.544025:0.446417:0.544025:0.000000
D:@0.574973:0.705479:0.586883:0.705479:0.586883:0.689766:0.574973:0.689766:0.000000
E:@0.494142:0.632612:0.502720:0.632612:0.502720:0.616899:0.494142:0.616899:0.000000
Hipótesis::@0.077386:0.745129:0.151688:0.745129:0.151688:0.728460:0.077386:0.728460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.151585:0.745129:0.155616:0.745129:0.155616:0.729417:0.151585:0.729417:0.000000
BE EC:@0.154792:0.745060:0.207251:0.744977:0.207251:0.728571:0.154792:0.728654:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.173603:0.745712:0.188936:0.745712:0.188936:0.728058:0.173603:0.728058:0.000000
 :@0.208945:0.745712:0.213547:0.745712:0.213547:0.728058:0.208945:0.728058:0.000000
y que :@0.213455:0.745129:0.257927:0.745129:0.257927:0.729417:0.213455:0.729417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AE DE:@0.258288:0.745129:0.313237:0.745060:0.313237:0.728654:0.258288:0.728723:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.277987:0.745712:0.293320:0.745712:0.293320:0.728058:0.277987:0.728058:0.000000
Tesis::@0.077386:0.766185:0.116773:0.766185:0.116773:0.749515:0.077386:0.749515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.116685:0.766185:0.120716:0.766185:0.120716:0.750472:0.116685:0.750472:0.000000
∆:@0.120643:0.766767:0.132920:0.766767:0.132920:0.749113:0.120643:0.749113:0.000000
AEB:@0.132828:0.766185:0.159519:0.766185:0.159519:0.749779:0.132828:0.749779:0.000000:0.000000:0.000000
≅∆:@0.159464:0.766767:0.186982:0.766767:0.186982:0.749113:0.159464:0.749113:0.000000:0.000000
DEC:@0.186890:0.766185:0.216287:0.766185:0.216287:0.749779:0.186890:0.749779:0.000000:0.000000:0.000000
Demostración:@0.077404:0.782300:0.184654:0.782300:0.184654:0.765630:0.077404:0.765630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proposiciones:@0.163108:0.798415:0.269217:0.798415:0.269217:0.781745:0.163108:0.781745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Argumentos:@0.593194:0.798415:0.691949:0.798415:0.691949:0.781745:0.593194:0.781745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BE EC:@0.189181:0.818391:0.241640:0.818308:0.241640:0.801902:0.189181:0.801985:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.207989:0.819043:0.223323:0.819043:0.223323:0.801389:0.207989:0.801389:0.000000
Dado en la hipótesis.:@0.362440:0.815257:0.512924:0.815257:0.512924:0.799544:0.362440:0.799544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AE DE:@0.188503:0.838498:0.243452:0.838428:0.243452:0.822022:0.188503:0.822091:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.208202:0.839080:0.223535:0.839080:0.223535:0.821426:0.208202:0.821426:0.000000
Dado en la hipótesis.:@0.362440:0.835294:0.512924:0.835294:0.512924:0.819581:0.362440:0.819581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡:@0.165224:0.859120:0.180558:0.859120:0.180558:0.841465:0.165224:0.841465:0.000000
AEB:@0.180466:0.858537:0.207156:0.858537:0.207156:0.842131:0.180466:0.842131:0.000000:0.000000:0.000000
≅∡:@0.207101:0.859120:0.237675:0.859120:0.237675:0.841465:0.207101:0.841465:0.000000:0.000000
DEC:@0.237583:0.858537:0.266980:0.858537:0.266980:0.842131:0.237583:0.842131:0.000000:0.000000:0.000000
Opuestos por el vértice.:@0.362421:0.855334:0.534039:0.855334:0.534039:0.839621:0.362421:0.839621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.168262:0.885871:0.180539:0.885871:0.180539:0.868217:0.168262:0.868217:0.000000
AEB:@0.180447:0.885289:0.207138:0.885289:0.207138:0.868883:0.180447:0.868883:0.000000:0.000000:0.000000
≅∆:@0.207082:0.885871:0.234601:0.885871:0.234601:0.868217:0.207082:0.868217:0.000000:0.000000
DEC:@0.234509:0.885289:0.263906:0.885289:0.263906:0.868883:0.234509:0.868883:0.000000:0.000000:0.000000
Por el postulado LAL (dos lados congruentes y el ángulo que forman es :@0.362403:0.875359:0.926773:0.875359:0.926773:0.859647:0.362403:0.859647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
congruente).:@0.362403:0.892001:0.455899:0.892001:0.455899:0.876288:0.362403:0.876288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.168243:0.912623:0.180521:0.912623:0.180521:0.894969:0.168243:0.894969:0.000000
AEB:@0.180429:0.912041:0.207119:0.912041:0.207119:0.895635:0.180429:0.895635:0.000000:0.000000:0.000000
≅∆:@0.207064:0.912623:0.234583:0.912623:0.234583:0.894969:0.207064:0.894969:0.000000:0.000000
DCE:@0.234491:0.912041:0.263887:0.912041:0.263887:0.895635:0.234491:0.895635:0.000000:0.000000:0.000000
Conclusión del teorema.:@0.362384:0.908837:0.539035:0.908837:0.539035:0.893124:0.362384:0.893124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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