168:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La congruencia de triángulos se refiere a la igualdad en tamaño y forma de dos :@0.287490:0.150300:0.907709:0.150300:0.907709:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos.  Dos  triángulos  son  congruentes  si  tienen  exactamente  los  mismos :@0.287490:0.166897:0.907672:0.166897:0.907672:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos y sus lados tienen la misma longitud. Así, si se superponen, coinciden :@0.287490:0.183493:0.907599:0.183493:0.907599:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
completamente.:@0.287490:0.200089:0.409129:0.200089:0.409129:0.183700:0.287490:0.183700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una actividad, la profesora de Matemática les pide a sus estudiantes analizar el :@0.287490:0.223808:0.907672:0.223808:0.907672:0.207419:0.287490:0.207419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfico de la izquierda y les hace la siguiente pregunta: ¿cómo se puede saber si los :@0.287490:0.240405:0.907672:0.240405:0.907672:0.224016:0.287490:0.224016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos 1 y 2 son congruentes? :@0.287490:0.257001:0.538324:0.257001:0.538324:0.240612:0.287490:0.240612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los postulados de la congruencia de triángulos son::@0.287490:0.280720:0.667610:0.280720:0.667610:0.264331:0.287490:0.264331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lado – ángulo – lado L.A.L.:@0.287490:0.304439:0.498745:0.304439:0.498745:0.287538:0.287490:0.287538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos triángulos son congruentes si sus dos lados y el ángulo determinado entre ellos :@0.287490:0.328158:0.907742:0.328158:0.907742:0.311769:0.287490:0.311769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son respectivamente congruentes. :@0.287490:0.344754:0.545602:0.344754:0.545602:0.328366:0.287490:0.328366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.396111:0.361273:0.403375:0.361273:0.403375:0.349183:0.396111:0.349183:0.000000
E:@0.552981:0.361273:0.559574:0.361273:0.559574:0.349183:0.552981:0.349183:0.000000
A:@0.347208:0.418576:0.355410:0.418576:0.355410:0.406485:0.347208:0.406485:0.000000
D:@0.503380:0.418576:0.512306:0.418576:0.512306:0.406485:0.503380:0.406485:0.000000
C:@0.479686:0.418576:0.487459:0.418576:0.487459:0.406485:0.479686:0.406485:0.000000
F:@0.636850:0.418576:0.643377:0.418576:0.643377:0.406485:0.636850:0.406485:0.000000
   :@0.648422:0.423654:0.659866:0.423654:0.659866:0.406753:0.648422:0.406753:0.000000:0.000000:0.000000
AB:@0.667564:0.379811:0.684431:0.379811:0.684431:0.365957:0.667564:0.365957:0.000000:0.000000
≅ :@0.688295:0.379437:0.701546:0.379437:0.701546:0.364189:0.688295:0.364189:0.000000:0.000000
DE:@0.701539:0.379811:0.719235:0.379811:0.719235:0.365957:0.701539:0.365957:0.000000:0.000000
:@0.664256:0.398743:0.676994:0.398743:0.676994:0.383669:0.664256:0.383669:0.000000
A :@0.676994:0.397959:0.688885:0.397959:0.688885:0.384105:0.676994:0.384105:0.000000:0.000000
≅ :@0.688885:0.397585:0.702136:0.397585:0.702136:0.382337:0.688885:0.382337:0.000000:0.000000
:@0.702136:0.398743:0.714874:0.398743:0.714874:0.383669:0.702136:0.383669:0.000000
D:@0.714874:0.397959:0.725256:0.397959:0.725256:0.384105:0.714874:0.384105:0.000000
AC:@0.667564:0.416099:0.685111:0.416099:0.685111:0.402245:0.667564:0.402245:0.000000:0.000000
≅ :@0.692557:0.415725:0.705808:0.415725:0.705808:0.400477:0.692557:0.400477:0.000000:0.000000
DF:@0.705815:0.416099:0.723444:0.416099:0.723444:0.402245:0.705815:0.402245:0.000000:0.000000
⇒ Δ:@0.735966:0.395660:0.766631:0.395660:0.766631:0.380412:0.735966:0.380412:0.000000:0.000000:0.000000
ABC :@0.766631:0.396034:0.795406:0.396034:0.795406:0.382180:0.766631:0.382180:0.000000:0.000000:0.000000:0.000000
≅ Δ:@0.795406:0.395660:0.818807:0.395660:0.818807:0.380412:0.795406:0.380412:0.000000:0.000000:0.000000
DEF:@0.818807:0.396034:0.843751:0.396034:0.843751:0.382180:0.818807:0.382180:0.000000:0.000000:0.000000
Ángulo – lado – ángulo A.L.A.:@0.287495:0.447379:0.520181:0.447379:0.520181:0.430478:0.287495:0.430478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos triángulos son congruentes si tienen dos ángulos y el lado común a ellos :@0.287495:0.471098:0.907620:0.471098:0.907620:0.454709:0.287495:0.454709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respectivamente congruentes.:@0.287495:0.487694:0.510982:0.487694:0.510982:0.471306:0.287495:0.471306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.398592:0.504194:0.405856:0.504194:0.405856:0.492104:0.398592:0.492104:0.000000
E:@0.553880:0.504194:0.560474:0.504194:0.560474:0.492104:0.553880:0.492104:0.000000
A:@0.349689:0.561497:0.357891:0.561497:0.357891:0.549407:0.349689:0.549407:0.000000
D:@0.509306:0.561497:0.518231:0.561497:0.518231:0.549407:0.509306:0.549407:0.000000
C:@0.478830:0.561497:0.486603:0.561497:0.486603:0.549407:0.478830:0.549407:0.000000
F:@0.637750:0.561497:0.644276:0.561497:0.644276:0.549407:0.637750:0.549407:0.000000
  :@0.649314:0.566576:0.657385:0.566576:0.657385:0.550187:0.649314:0.550187:0.000000:0.000000
:@0.661783:0.525333:0.674520:0.525333:0.674520:0.510259:0.661783:0.510259:0.000000
A :@0.674520:0.524548:0.686411:0.524548:0.686411:0.510695:0.674520:0.510695:0.000000:0.000000
≅ :@0.686411:0.524175:0.699662:0.524175:0.699662:0.508927:0.686411:0.508927:0.000000:0.000000
:@0.699662:0.525333:0.712400:0.525333:0.712400:0.510259:0.699662:0.510259:0.000000
D:@0.712400:0.524548:0.722782:0.524548:0.722782:0.510695:0.712400:0.510695:0.000000
AC:@0.665084:0.542694:0.682631:0.542694:0.682631:0.528840:0.665084:0.528840:0.000000:0.000000
≅ :@0.690078:0.542320:0.703329:0.542320:0.703329:0.527073:0.690078:0.527073:0.000000:0.000000
DF:@0.703333:0.542694:0.720963:0.542694:0.720963:0.528840:0.703333:0.528840:0.000000:0.000000
:@0.661788:0.558415:0.674526:0.558415:0.674526:0.543341:0.661788:0.543341:0.000000
C :@0.674526:0.557631:0.686433:0.557631:0.686433:0.543777:0.674526:0.543777:0.000000:0.000000
≅ :@0.686433:0.557257:0.699685:0.557257:0.699685:0.542009:0.686433:0.542009:0.000000:0.000000
:@0.699685:0.558415:0.712422:0.558415:0.712422:0.543341:0.699685:0.543341:0.000000
F:@0.712422:0.557631:0.719670:0.557631:0.719670:0.543777:0.712422:0.543777:0.000000
⇒ Δ:@0.733501:0.538574:0.764167:0.538574:0.764167:0.523326:0.733501:0.523326:0.000000:0.000000:0.000000
ABC :@0.764167:0.538947:0.792942:0.538947:0.792942:0.525093:0.764167:0.525093:0.000000:0.000000:0.000000:0.000000
≅ Δ:@0.792942:0.538574:0.816343:0.538574:0.816343:0.523326:0.792942:0.523326:0.000000:0.000000:0.000000
DEF:@0.816343:0.538947:0.841286:0.538947:0.841286:0.525093:0.816343:0.525093:0.000000:0.000000:0.000000
Lado – lado – lado L.L.L.:@0.287495:0.590300:0.475236:0.590300:0.475236:0.573400:0.287495:0.573400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos triángulos son congruentes si tienen sus tres lados respectivamente congruentes.:@0.287495:0.614019:0.901373:0.614019:0.901373:0.597630:0.287495:0.597630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.396837:0.630519:0.404100:0.630519:0.404100:0.618429:0.396837:0.618429:0.000000
E:@0.557150:0.630519:0.563744:0.630519:0.563744:0.618429:0.557150:0.618429:0.000000
A:@0.345159:0.680509:0.353361:0.680509:0.353361:0.668419:0.345159:0.668419:0.000000
D:@0.504776:0.680509:0.513701:0.680509:0.513701:0.668419:0.504776:0.668419:0.000000
C:@0.481684:0.680509:0.489457:0.680509:0.489457:0.668419:0.481684:0.668419:0.000000
F:@0.642279:0.680509:0.648806:0.680509:0.648806:0.668419:0.642279:0.668419:0.000000
  :@0.654324:0.684101:0.662396:0.684101:0.662396:0.667712:0.654324:0.667712:0.000000:0.000000
AB:@0.670095:0.640257:0.686962:0.640257:0.686962:0.626403:0.670095:0.626403:0.000000:0.000000
≅ :@0.695088:0.639883:0.708340:0.639883:0.708340:0.624635:0.695088:0.624635:0.000000:0.000000
DE:@0.708344:0.640257:0.726040:0.640257:0.726040:0.626403:0.708344:0.626403:0.000000:0.000000
BC:@0.666793:0.658758:0.683677:0.658758:0.683677:0.644904:0.666793:0.644904:0.000000:0.000000
≅ :@0.691787:0.658384:0.705038:0.658384:0.705038:0.643136:0.691787:0.643136:0.000000:0.000000
EF:@0.705042:0.658758:0.719604:0.658758:0.719604:0.644904:0.705042:0.644904:0.000000:0.000000
AC:@0.666793:0.677258:0.684340:0.677258:0.684340:0.663404:0.666793:0.663404:0.000000:0.000000
≅ :@0.691787:0.676884:0.705038:0.676884:0.705038:0.661636:0.691787:0.661636:0.000000:0.000000
DF:@0.705042:0.677258:0.722672:0.677258:0.722672:0.663404:0.705042:0.663404:0.000000:0.000000
⇒ Δ:@0.738494:0.656097:0.769159:0.656097:0.769159:0.640849:0.738494:0.640849:0.000000:0.000000:0.000000
ABC :@0.769159:0.656471:0.797934:0.656471:0.797934:0.642617:0.769159:0.642617:0.000000:0.000000:0.000000:0.000000
≅ Δ:@0.797934:0.656097:0.821335:0.656097:0.821335:0.640849:0.797934:0.640849:0.000000:0.000000:0.000000
DEF:@0.821335:0.656471:0.846279:0.656471:0.846279:0.642617:0.821335:0.642617:0.000000:0.000000:0.000000
Dos triángulos son congruentes si sus ángulos correspondientes tienen la misma :@0.296992:0.712753:0.898211:0.712753:0.898211:0.696364:0.296992:0.696364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida, y sus lados homólogos miden lo mismo.:@0.296992:0.729349:0.655423:0.729349:0.655423:0.712960:0.296992:0.712960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, resolveremos la pregunta planteada anteriormente.:@0.287502:0.753068:0.783714:0.753068:0.783714:0.736679:0.287502:0.736679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Utilizando los postulados de congruencia de triángulos, podemos conocer si los :@0.287502:0.776787:0.907681:0.776787:0.907681:0.760398:0.287502:0.760398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos 1 y 2 son congruentes.:@0.287502:0.793383:0.530283:0.793383:0.530283:0.776994:0.287502:0.776994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los lados congruentes son: Los ángulos congruentes son::@0.287502:0.817379:0.719868:0.817379:0.719868:0.800990:0.287502:0.800990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB DE:@0.289466:0.843164:0.347476:0.843164:0.352280:0.826775:0.294270:0.826775:0.000000:0.000000:0.000000:0.000000:0.000000
BC:@0.288322:0.866426:0.308040:0.866426:0.312844:0.850037:0.293126:0.850037:0.000000:0.000000
EF:@0.327002:0.866426:0.343937:0.866426:0.348741:0.850037:0.331806:0.850037:0.000000:0.000000
AC:@0.289466:0.889684:0.310694:0.889684:0.315498:0.873295:0.294270:0.873295:0.000000:0.000000
DF:@0.329675:0.889684:0.350074:0.889684:0.354878:0.873295:0.334479:0.873295:0.000000:0.000000
≅:@0.315398:0.843841:0.325515:0.843841:0.325515:0.828268:0.315398:0.828268:0.000000
≅:@0.315398:0.867104:0.325515:0.867104:0.325515:0.851531:0.315398:0.851531:0.000000
≅:@0.318069:0.890361:0.328185:0.890361:0.328185:0.874789:0.318069:0.874789:0.000000
≅:@0.532018:0.841042:0.542651:0.841042:0.542651:0.822102:0.532018:0.822102:0.000000
≅:@0.528552:0.862845:0.539185:0.862845:0.539185:0.843905:0.528552:0.843905:0.000000
≅:@0.530588:0.884639:0.541221:0.884639:0.541221:0.865699:0.530588:0.865699:0.000000
D:@0.559039:0.840421:0.571163:0.840421:0.571163:0.824243:0.559039:0.824243:0.000000
B:@0.515236:0.862220:0.524532:0.862220:0.524532:0.846041:0.515236:0.846041:0.000000
E:@0.555559:0.862220:0.564100:0.862220:0.564100:0.846041:0.555559:0.846041:0.000000
C:@0.515236:0.884014:0.525656:0.884014:0.525656:0.867835:0.515236:0.867835:0.000000
F:@0.557612:0.884014:0.566076:0.884014:0.566076:0.867835:0.557612:0.867835:0.000000
A:@0.517056:0.840421:0.527457:0.840421:0.527457:0.824243:0.517056:0.824243:0.000000
:@0.501543:0.840610:0.515526:0.840610:0.515526:0.823734:0.501543:0.823734:0.000000
:@0.545333:0.840610:0.559317:0.840610:0.559317:0.823734:0.545333:0.823734:0.000000
:@0.501543:0.862414:0.515526:0.862414:0.515526:0.845537:0.501543:0.845537:0.000000
:@0.541866:0.862414:0.555850:0.862414:0.555850:0.845537:0.541866:0.845537:0.000000
:@0.501543:0.884203:0.515526:0.884203:0.515526:0.867327:0.501543:0.867327:0.000000
:@0.543919:0.884203:0.557903:0.884203:0.557903:0.867327:0.543919:0.867327:0.000000
Por lo tanto, los triángulos 1 y 2 son congruentes.:@0.287494:0.916552:0.646919:0.916552:0.646919:0.900163:0.287494:0.900163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Congruencia de triángulos. :@0.286308:0.063945:0.764756:0.063945:0.764756:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teoremas:@0.286308:0.094120:0.457182:0.094120:0.457182:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
B:@0.677997:0.841930:0.684535:0.841930:0.684535:0.831049:0.677997:0.831049:0.000000
E:@0.822280:0.841930:0.828214:0.841930:0.828214:0.831049:0.822280:0.831049:0.000000
A:@0.631487:0.886921:0.638869:0.886921:0.638869:0.876040:0.631487:0.876040:0.000000
D:@0.775142:0.886921:0.783175:0.886921:0.783175:0.876040:0.775142:0.876040:0.000000
C:@0.754360:0.886921:0.761356:0.886921:0.761356:0.876040:0.754360:0.876040:0.000000
F:@0.898896:0.886921:0.904770:0.886921:0.904770:0.876040:0.898896:0.876040:0.000000
1:@0.678944:0.871677:0.689719:0.871677:0.689719:0.853240:0.678944:0.853240:0.000000
2:@0.823785:0.871677:0.834560:0.871677:0.834560:0.853240:0.823785:0.853240:0.000000
1:@0.105144:0.401260:0.114137:0.401260:0.114137:0.384871:0.105144:0.384871:0.000000
2:@0.217221:0.400112:0.226214:0.400112:0.226214:0.383723:0.217221:0.383723:0.000000
©:@0.070380:0.402047:0.070380:0.396940:0.058298:0.396940:0.058298:0.402047:0.000000
Shutterstock:@0.070380:0.396940:0.070380:0.359222:0.058469:0.359222:0.058469:0.396940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La congruencia en :@0.121343:0.190922:0.248427:0.190922:0.248427:0.176023:0.121343:0.176023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geometría indica que dos :@0.073867:0.206010:0.248425:0.206010:0.248425:0.191111:0.073867:0.191111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
objetos o figuras son :@0.105898:0.221098:0.248427:0.221098:0.248427:0.206199:0.105898:0.206199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales en forma y :@0.122801:0.236185:0.248425:0.236185:0.248425:0.221286:0.122801:0.221286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tamaño, su símbolo es: :@0.074990:0.251273:0.230804:0.251273:0.230804:0.236374:0.074990:0.236374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.230804:0.251801:0.244758:0.251801:0.244758:0.235795:0.230804:0.235795:0.000000
Para denotar que dos :@0.102464:0.269919:0.248427:0.269919:0.248427:0.255020:0.102464:0.255020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos son :@0.149906:0.285006:0.248427:0.285006:0.248427:0.270107:0.149906:0.270107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
congruentes, se escribe::@0.084890:0.300094:0.244755:0.300094:0.244755:0.285195:0.084890:0.285195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Δ:@0.151196:0.318362:0.161449:0.318362:0.161449:0.302961:0.151196:0.302961:0.000000
ABC:@0.161449:0.318740:0.187499:0.318740:0.187499:0.304746:0.161449:0.304746:0.000000:0.000000:0.000000
≅ :@0.191167:0.319268:0.209310:0.319268:0.209310:0.303262:0.191167:0.303262:0.000000:0.000000
Δ:@0.209310:0.318362:0.219563:0.318362:0.219563:0.302961:0.209310:0.302961:0.000000
DEF:@0.219563:0.318740:0.244758:0.318740:0.244758:0.304746:0.219563:0.304746:0.000000:0.000000:0.000000
    Comunicacional:@0.101541:0.158480:0.237601:0.158480:0.237601:0.141580:0.101541:0.141580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta es la clasificación :@0.102361:0.498317:0.249615:0.498317:0.249615:0.483418:0.102361:0.483418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los triángulos :@0.135615:0.513405:0.249613:0.513405:0.249613:0.498506:0.135615:0.498506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
según sus lados::@0.137508:0.528493:0.245946:0.528493:0.245946:0.513594:0.137508:0.513594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Equilátero:@0.168517:0.547138:0.243031:0.547138:0.243031:0.531774:0.168517:0.531774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.243031:0.547138:0.245946:0.547138:0.245946:0.532239:0.243031:0.532239:0.000000
Los tres lados son :@0.128679:0.565784:0.249615:0.565784:0.249615:0.550885:0.128679:0.550885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
congruentes. Sus tres :@0.103919:0.580872:0.249613:0.580872:0.249613:0.565973:0.103919:0.565973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos son iguales a 60 º.:@0.070599:0.595959:0.245946:0.595959:0.245946:0.581060:0.070599:0.581060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Isósceles:@0.179236:0.669073:0.243030:0.669073:0.243030:0.653709:0.179236:0.653709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.243030:0.669073:0.245944:0.669073:0.245944:0.654174:0.243030:0.654174:0.000000
Exactamente dos de sus :@0.084971:0.687718:0.249612:0.687718:0.249612:0.672819:0.084971:0.672819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados son congruentes. :@0.091571:0.702806:0.249612:0.702806:0.249612:0.687907:0.091571:0.687907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.245943:0.702806:0.249612:0.702806:0.249612:0.687907:0.245943:0.687907:0.000000
Dos de sus ángulos son :@0.089092:0.717894:0.249613:0.717894:0.249613:0.702995:0.089092:0.702995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
congruentes.:@0.158480:0.732981:0.245943:0.732981:0.245943:0.718082:0.158480:0.718082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escaleno:@0.179354:0.809962:0.243030:0.809962:0.243030:0.794598:0.179354:0.794598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.243030:0.809962:0.245944:0.809962:0.245944:0.795063:0.243030:0.795063:0.000000
Ninguno de sus lados :@0.101556:0.828608:0.249613:0.828608:0.249613:0.813709:0.101556:0.813709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son iguales. Sus tres :@0.113802:0.843695:0.249612:0.843695:0.249612:0.828796:0.113802:0.828796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos son diferentes.:@0.092241:0.858783:0.245941:0.858783:0.245941:0.843884:0.092241:0.843884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.116986:0.465875:0.224527:0.465875:0.224527:0.448975:0.116986:0.448975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.9. :@0.290067:0.954959:0.332119:0.954959:0.332119:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definir e identificar la congruencia de dos triángulos de acuerdo con criterios que consideran las medidas de sus lados y/o :@0.332084:0.954959:0.903560:0.954959:0.903560:0.944530:0.332084:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.348266:0.954959:0.350835:0.954959:0.350835:0.944530:0.348266:0.944530:0.000000
 :@0.403745:0.954959:0.406313:0.954959:0.406313:0.944530:0.403745:0.944530:0.000000
sus ángulos.:@0.290067:0.965521:0.346835:0.965521:0.346835:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000