﻿172:@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 semejanza de triángulos describe la relación entre dos :@0.287490:0.150300:0.730765:0.150300:0.730765:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos  que tienen  la misma  forma, pero tamaños :@0.287490:0.166897:0.730811:0.166897:0.730811:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferentes. :@0.287490:0.183493:0.367335:0.183493:0.367335:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos triángulos son semejantes si tienen  sus ángulos :@0.287490:0.207212:0.730832:0.207212:0.730832:0.190823:0.287490:0.190823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondientes congruentes (iguales) y sus lados :@0.287490:0.223808:0.730747:0.223808:0.730747:0.207419:0.287490:0.207419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correspondientes son proporcionales;  es decir, uno de los :@0.287490:0.240405:0.730802:0.240405:0.730802:0.224016:0.287490:0.224016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos es la escala del otro, sin cambiar su forma.:@0.287490:0.257001:0.669930:0.257001:0.669930:0.240612:0.287490:0.240612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Criterios de semejanza de triángulos:@0.287495:0.293248:0.603131:0.293248:0.603131:0.274811:0.287495:0.274811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema: ángulo – ángulo A.A.:@0.287495:0.323786:0.529653:0.323786:0.529653:0.306886:0.287495:0.306886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dos triángulos tienen sus dos ángulos correspondientes congruentes, entonces, el :@0.287495:0.347505:0.907676:0.347505:0.907676:0.331117:0.287495:0.331117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tercero también será congruente. Por lo tanto, los triángulos son semejantes.:@0.287495:0.364102:0.847985:0.364102:0.847985:0.347713:0.287495:0.347713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.384830:0.430522:0.388037:0.430522:0.388037:0.414134:0.384830:0.414134:0.000000
....:@0.389234:0.430522:0.401562:0.430522:0.401562:0.414134:0.389234:0.414134:0.000000:0.000000:0.000000:0.000000
≅:@0.343073:0.431200:0.262618:0.431200:0.262618:0.415627:0.343073:0.415627:0.000000
≅:@0.433645:0.431200:0.353190:0.431200:0.353190:0.415627:0.433645:0.415627:0.000000
A:@0.328221:0.430522:0.338116:0.430522:0.342628:0.415129:0.332733:0.415129:0.000000
D:@0.369314:0.430522:0.380850:0.430522:0.385362:0.415129:0.373826:0.415129:0.000000
C:@0.414914:0.430522:0.424828:0.430522:0.429340:0.415129:0.419426:0.415129:0.000000
F:@0.459878:0.430522:0.467930:0.430522:0.472443:0.415129:0.464390:0.415129:0.000000
:@0.315413:0.431394:0.288472:0.431394:0.288472:0.414645:0.315413:0.414645:0.000000
:@0.356507:0.431394:0.329566:0.431394:0.329566:0.414645:0.356507:0.414645:0.000000
:@0.402115:0.431394:0.371304:0.431394:0.371304:0.414645:0.402115:0.414645:0.000000
:@0.447079:0.431394:0.416268:0.431394:0.416268:0.414645:0.447079:0.414645:0.000000
Δ:@0.659496:0.473933:0.609409:0.473933:0.609409:0.458360:0.659496:0.458360:0.000000
Δ:@0.720860:0.473933:0.670774:0.473933:0.670774:0.458360:0.720860:0.458360:0.000000
ABC:@0.669581:0.473256:0.697865:0.473256:0.702661:0.456894:0.674377:0.456894:0.000000:0.000000:0.000000
DEF:@0.730932:0.473256:0.758564:0.473256:0.763360:0.456894:0.735728:0.456894:0.000000:0.000000:0.000000
:@0.707031:0.474127:0.717148:0.474127:0.717148:0.457378:0.707031:0.457378:0.000000
B:@0.607733:0.389648:0.615419:0.389648:0.615419:0.376277:0.607733:0.376277:0.000000
C:@0.699623:0.455212:0.707842:0.455212:0.707842:0.441841:0.699623:0.441841:0.000000
E:@0.770824:0.401908:0.777784:0.401908:0.777784:0.388537:0.770824:0.388537:0.000000
D:@0.726959:0.455212:0.736541:0.455212:0.736541:0.441841:0.726959:0.441841:0.000000
F:@0.844292:0.455212:0.851178:0.455212:0.851178:0.441841:0.844292:0.441841:0.000000
A:@0.554571:0.455423:0.563629:0.455423:0.563629:0.441024:0.554571:0.441024:0.000000
Teorema: lado – ángulo – lado L.A.L.:@0.287495:0.499496:0.571613:0.499496:0.571613:0.482595:0.287495:0.482595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos triángulos son semejantes si tienen un ángulo correspondiente congruente, :@0.287495:0.523214:0.907694:0.523214:0.907694:0.506826:0.287495:0.506826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprendido entre dos lados proporcionales.:@0.287495:0.539811:0.622285:0.539811:0.622285:0.523422:0.287495:0.523422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
..:@0.379019:0.609939:0.385266:0.609939:0.385266:0.593550:0.379019:0.593550:0.000000:0.000000
..:@0.398386:0.609939:0.404633:0.609939:0.404633:0.593550:0.398386:0.593550:0.000000:0.000000
≅:@0.338029:0.610617:0.348146:0.610617:0.348146:0.595044:0.338029:0.595044:0.000000
=:@0.436451:0.610617:0.446568:0.610617:0.446568:0.595044:0.436451:0.595044:0.000000
A:@0.323195:0.609939:0.333090:0.609939:0.337603:0.594546:0.327707:0.594546:0.000000
D y:@0.364288:0.609939:0.394178:0.609939:0.398690:0.594546:0.368801:0.594546:0.000000:0.000000:0.000000
AB:@0.408573:0.601378:0.427001:0.601378:0.431513:0.585985:0.413085:0.585985:0.000000:0.000000
DE:@0.406694:0.620900:0.426338:0.620900:0.430850:0.605507:0.411206:0.605507:0.000000:0.000000
AC:@0.451088:0.601373:0.470584:0.601373:0.475096:0.585980:0.455600:0.585980:0.000000:0.000000
DF:@0.450565:0.620900:0.470135:0.620900:0.474647:0.605507:0.455077:0.605507:0.000000:0.000000
:@0.310388:0.610811:0.283446:0.610811:0.283446:0.594062:0.310388:0.594062:0.000000
:@0.351481:0.610811:0.324540:0.610811:0.324540:0.594062:0.351481:0.594062:0.000000
Δ:@0.634565:0.655802:0.584479:0.655802:0.584479:0.640229:0.634565:0.640229:0.000000
Δ:@0.695929:0.655802:0.645843:0.655802:0.645843:0.640229:0.695929:0.640229:0.000000
ABC:@0.644650:0.655124:0.672934:0.655124:0.677730:0.638763:0.649446:0.638763:0.000000:0.000000:0.000000
DEF:@0.706001:0.655124:0.733633:0.655124:0.738429:0.638763:0.710797:0.638763:0.000000:0.000000:0.000000
:@0.682100:0.655996:0.692217:0.655996:0.692217:0.639247:0.682100:0.639247:0.000000
E:@0.759719:0.564846:0.767703:0.564846:0.767703:0.549509:0.759719:0.549509:0.000000
D:@0.698242:0.639478:0.709233:0.639478:0.709233:0.624141:0.698242:0.624141:0.000000
F:@0.863916:0.639478:0.871815:0.639478:0.871815:0.624141:0.863916:0.624141:0.000000
B:@0.581406:0.579749:0.590222:0.579749:0.590222:0.564412:0.581406:0.564412:0.000000
C:@0.666562:0.639478:0.675990:0.639478:0.675990:0.624141:0.666562:0.624141:0.000000
A:@0.534149:0.639478:0.543797:0.639478:0.543797:0.624141:0.534149:0.624141:0.000000
Teorema: lado – lado – lado L.L.L.:@0.287495:0.681363:0.548099:0.681363:0.548099:0.664462:0.287495:0.664462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos triángulos son semejantes si tienen sus tres lados respectivamente :@0.287495:0.705082:0.907696:0.705082:0.907696:0.688693:0.287495:0.688693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporcionales.:@0.287495:0.721678:0.400750:0.721678:0.400750:0.705289:0.287495:0.705289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.368078:0.785070:0.336253:0.785070:0.336253:0.769497:0.368078:0.769497:0.000000
=:@0.410019:0.785070:0.378195:0.785070:0.378195:0.769497:0.410019:0.769497:0.000000
AB:@0.344206:0.775434:0.362633:0.775434:0.362633:0.760041:0.344206:0.760041:0.000000:0.000000
DE:@0.342478:0.794883:0.362122:0.794883:0.362122:0.779490:0.342478:0.779490:0.000000:0.000000
AC:@0.384411:0.775434:0.403908:0.775434:0.403908:0.760041:0.384411:0.760041:0.000000:0.000000
DF:@0.383679:0.794883:0.403249:0.794883:0.403249:0.779490:0.383679:0.779490:0.000000:0.000000
BC:@0.424878:0.775434:0.443583:0.775434:0.443583:0.760041:0.424878:0.760041:0.000000:0.000000
EF:@0.426189:0.794883:0.442294:0.794883:0.442294:0.779490:0.426189:0.779490:0.000000:0.000000
Δ:@0.644062:0.822842:0.593976:0.822842:0.593976:0.807269:0.644062:0.807269:0.000000
Δ:@0.705426:0.822842:0.655340:0.822842:0.655340:0.807269:0.705426:0.807269:0.000000
ABC:@0.654147:0.822164:0.682431:0.822164:0.687227:0.805803:0.658943:0.805803:0.000000:0.000000:0.000000
DEF:@0.715498:0.822164:0.743130:0.822164:0.747926:0.805803:0.720294:0.805803:0.000000:0.000000:0.000000
:@0.691597:0.823036:0.701714:0.823036:0.701714:0.806287:0.691597:0.806287:0.000000
A:@0.520598:0.805601:0.529847:0.805601:0.529847:0.790899:0.520598:0.790899:0.000000
B:@0.577590:0.745583:0.586041:0.745583:0.586041:0.730881:0.577590:0.730881:0.000000
C D:@0.686589:0.805601:0.720638:0.805601:0.720638:0.790899:0.686589:0.790899:0.000000:0.000000:0.000000
E:@0.770710:0.745412:0.778363:0.745412:0.778363:0.730710:0.770710:0.730710:0.000000
F:@0.877007:0.805601:0.884579:0.805601:0.884579:0.790899:0.877007:0.790899:0.000000
Dos triángulos son semejantes si cumplen dos condiciones::@0.296992:0.861772:0.733632:0.861772:0.733632:0.845383:0.296992:0.845383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)  Todos los pares de ángulos correspondientes son congruentes.:@0.296992:0.880221:0.781940:0.880221:0.781940:0.863832:0.296992:0.863832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) Todos los pares de lados correspondientes son proporcionales.:@0.296992:0.898671:0.779315:0.898671:0.779315:0.882282:0.296992:0.882282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Semejanzas de triángulos. :@0.286308:0.063945:0.748714:0.063945:0.748714:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
Triángulos semejantes.:@0.766788:0.255138:0.903644:0.255138:0.903644:0.241729:0.766788:0.241729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.931499:0.180189:0.931499:0.175082:0.919418:0.175082:0.919418:0.180189:0.000000
Shutterstock:@0.931499:0.175082:0.931499:0.137363:0.919588:0.137363:0.919588:0.175082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta es la clasificación :@0.101768:0.347738:0.249021:0.347738:0.249021:0.332839:0.101768:0.332839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los triángulos :@0.135021:0.362826:0.249020:0.362826:0.249020:0.347927:0.135021:0.347927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
según sus ángulos::@0.119040:0.377913:0.245353:0.377913:0.245353:0.363014:0.119040:0.363014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Triángulo acutángulo: :@0.086322:0.396559:0.248820:0.396559:0.248820:0.381195:0.086322:0.381195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos sus ángulos :@0.125054:0.411647:0.249021:0.411647:0.249021:0.396748:0.125054:0.396748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son agudos.:@0.164924:0.426734:0.245351:0.426734:0.245351:0.411835:0.164924:0.411835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.181977:0.441977:0.190541:0.441977:0.190541:0.428364:0.181977:0.428364:0.000000
B:@0.083961:0.513220:0.091786:0.513220:0.091786:0.499607:0.083961:0.499607:0.000000
C:@0.225761:0.513220:0.234129:0.513220:0.234129:0.499607:0.225761:0.499607:0.000000
Triángulo obtusángulo: :@0.076120:0.538584:0.248821:0.538584:0.248821:0.523220:0.076120:0.523220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene un ángulo obtuso.:@0.085501:0.553671:0.245349:0.553671:0.245349:0.538772:0.085501:0.538772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.080142:0.568907:0.088706:0.568907:0.088706:0.555295:0.080142:0.555295:0.000000
B:@0.121801:0.624547:0.129626:0.624547:0.129626:0.610934:0.121801:0.610934:0.000000
C:@0.226331:0.624547:0.234698:0.624547:0.234698:0.610934:0.226331:0.610934:0.000000
Triángulo rectángulo: :@0.089656:0.649903:0.248818:0.649903:0.248818:0.634538:0.089656:0.634538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está formado por un :@0.108753:0.664990:0.249020:0.664990:0.249020:0.650091:0.108753:0.650091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo recto y dos :@0.121117:0.680078:0.249020:0.680078:0.249020:0.665179:0.121117:0.665179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos agudos.:@0.135758:0.695165:0.245351:0.695165:0.245351:0.680266:0.135758:0.680266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.086529:0.710401:0.095092:0.710401:0.095092:0.696789:0.086529:0.696789:0.000000
B:@0.087267:0.770918:0.095092:0.770918:0.095092:0.757305:0.087267:0.757305:0.000000
C:@0.219931:0.770918:0.228299:0.770918:0.228299:0.757305:0.219931:0.757305:0.000000
Triángulo equiángulo: :@0.085568:0.796275:0.248820:0.796275:0.248820:0.780911:0.085568:0.780911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todos sus ángulos :@0.125054:0.811363:0.249021:0.811363:0.249021:0.796464:0.125054:0.796464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son congruentes.:@0.130079:0.826450:0.245351:0.826450:0.245351:0.811551:0.130079:0.811551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.156760:0.841686:0.165324:0.841686:0.165324:0.828074:0.156760:0.828074:0.000000
B:@0.096602:0.913021:0.104427:0.913021:0.104427:0.899408:0.096602:0.899408:0.000000
C:@0.213118:0.913021:0.221486:0.913021:0.221486:0.899408:0.213118:0.899408:0.000000
60º:@0.149973:0.863791:0.168978:0.863791:0.168978:0.850918:0.149973:0.850918:0.000000:0.000000:0.000000
60º:@0.120605:0.908112:0.139610:0.908112:0.139610:0.895240:0.120605:0.895240:0.000000:0.000000:0.000000
60º:@0.182410:0.908112:0.201414:0.908112:0.201414:0.895240:0.182410:0.895240:0.000000:0.000000:0.000000
     Matemática:@0.116393:0.315297:0.223933:0.315297:0.223933:0.298397:0.116393:0.298397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El símbolo de :@0.155493:0.192416:0.249139:0.192416:0.249139:0.177517:0.155493:0.177517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semejanza es  ::@0.136144:0.207504:0.245470:0.207504:0.245470:0.192605:0.136144:0.192605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∼:@0.228601:0.208032:0.242555:0.208032:0.242555:0.192026:0.228601:0.192026:0.000000
Para denotar que dos :@0.103176:0.226149:0.249139:0.226149:0.249139:0.211250:0.103176:0.211250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos son :@0.150618:0.241237:0.249139:0.241237:0.249139:0.226338:0.150618:0.226338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semejantes se escribe::@0.097228:0.256325:0.245467:0.256325:0.245467:0.241426:0.097228:0.241426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABC:@0.154324:0.273042:0.182610:0.273042:0.182610:0.257649:0.154324:0.257649:0.000000:0.000000:0.000000
DEF:@0.211910:0.273042:0.239533:0.273042:0.239533:0.257649:0.211910:0.257649:0.000000:0.000000:0.000000
    Comunicacional:@0.102253:0.159974:0.238313:0.159974:0.238313:0.143073:0.102253:0.143073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.10. :@0.290067:0.961066:0.338404:0.961066:0.338404:0.950311:0.290067:0.950311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar criterios de semejanza para reconocer triángulos rectángulos semejantes y resolver problemas.:@0.338404:0.961066:0.814430:0.961066:0.814430:0.950636:0.338404:0.950636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000