237:@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
Postulados de la congruencia de triángulos :@0.073089:0.136836:0.403094:0.136836:0.403094:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primer postulado: LLL:@0.073089:0.153478:0.237585:0.153478:0.237585:0.136808:0.073089:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si los tres lados de un triángulo son congruentes a los tres lados de otro triángulo, los triángulos son congruentes.:@0.073089:0.170120:0.895186:0.170120:0.895186:0.154407:0.073089:0.154407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.306753:0.284859:0.318018:0.284859:0.318018:0.268189:0.306753:0.268189:0.000000
B:@0.466067:0.284859:0.476044:0.284859:0.476044:0.268189:0.466067:0.268189:0.000000
C:@0.385536:0.192719:0.396212:0.192719:0.396212:0.176049:0.385536:0.176049:0.000000
D:@0.515635:0.284859:0.527894:0.284859:0.527894:0.268189:0.515635:0.268189:0.000000
E:@0.675410:0.284859:0.684466:0.284859:0.684466:0.268189:0.675410:0.268189:0.000000
F:@0.594418:0.192719:0.603382:0.192719:0.603382:0.176049:0.594418:0.176049:0.000000
Si :@0.073089:0.313763:0.089361:0.313763:0.089361:0.298050:0.073089:0.298050:0.000000:0.000000:0.000000
AB:@0.092874:0.315709:0.111484:0.315709:0.111484:0.299303:0.092874:0.299303:0.000000:0.000000
≅:@0.115974:0.314345:0.131307:0.314345:0.131307:0.296691:0.115974:0.296691:0.000000
DE:@0.133726:0.315709:0.153348:0.315709:0.153348:0.299303:0.133726:0.299303:0.000000:0.000000
       :@0.157898:0.314345:0.190111:0.314345:0.190111:0.296691:0.157898:0.296691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AC:@0.192862:0.314541:0.211382:0.314541:0.211382:0.299100:0.192862:0.299100:0.000000:0.000000
≅:@0.216174:0.314345:0.231507:0.314345:0.231507:0.296691:0.216174:0.296691:0.000000
DF:@0.233925:0.315709:0.253474:0.315709:0.253474:0.299303:0.233925:0.299303:0.000000:0.000000
      :@0.258097:0.314345:0.285708:0.314345:0.285708:0.296691:0.258097:0.296691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BC:@0.287666:0.315079:0.306460:0.315079:0.306460:0.298673:0.287666:0.298673:0.000000:0.000000
≅:@0.311863:0.314345:0.327196:0.314345:0.327196:0.296691:0.311863:0.296691:0.000000
EF:@0.331288:0.315709:0.347376:0.315709:0.347376:0.299303:0.331288:0.299303:0.000000:0.000000
 :@0.353787:0.314345:0.358388:0.314345:0.358388:0.296691:0.353787:0.296691:0.000000
entonces :@0.358296:0.313763:0.429764:0.313763:0.429764:0.298050:0.358296:0.298050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.429643:0.314345:0.441921:0.314345:0.441921:0.296691:0.429643:0.296691:0.000000
ABC:@0.441828:0.313763:0.470304:0.313763:0.470304:0.297357:0.441828:0.297357:0.000000:0.000000:0.000000
≅∆:@0.470249:0.314345:0.497768:0.314345:0.497768:0.296691:0.470249:0.296691:0.000000:0.000000
DEF:@0.497676:0.313763:0.525213:0.313763:0.525213:0.297357:0.497676:0.297357:0.000000:0.000000:0.000000
Segundo postulado: LAL:@0.073094:0.338629:0.259151:0.338629:0.259151:0.321959:0.073094:0.321959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dos lados y el ángulo comprendido entre ellos de un primer triángulo son respectivamente congruentes con dos :@0.073094:0.355270:0.912734:0.355270:0.912734:0.339558:0.073094:0.339558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados y el ángulo comprendido entre ellos de un segundo triángulo, los dos triángulos son congruentes:@0.073094:0.371912:0.824703:0.371912:0.824703:0.356200:0.073094:0.356200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.073094:0.397346:0.089366:0.397346:0.089366:0.381634:0.073094:0.381634:0.000000:0.000000:0.000000
AB:@0.092874:0.399292:0.111484:0.399292:0.111484:0.382886:0.092874:0.382886:0.000000:0.000000
≅:@0.115974:0.397929:0.131307:0.397929:0.131307:0.380275:0.115974:0.380275:0.000000
DE:@0.133726:0.399292:0.153348:0.399292:0.153348:0.382886:0.133726:0.382886:0.000000:0.000000
       :@0.157898:0.397929:0.190111:0.397929:0.190111:0.380275:0.157898:0.380275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AC:@0.192862:0.398123:0.211382:0.398123:0.211382:0.382682:0.192862:0.382682:0.000000:0.000000
≅:@0.216174:0.397929:0.231507:0.397929:0.231507:0.380275:0.216174:0.380275:0.000000
DF:@0.233925:0.399292:0.253474:0.399292:0.253474:0.382886:0.233925:0.382886:0.000000:0.000000
  ∡ ≅∡:@0.258097:0.397929:0.334156:0.397929:0.334156:0.380275:0.258097:0.380275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.262607:0.397346:0.278621:0.397346:0.278621:0.381634:0.262607:0.381634:0.000000:0.000000:0.000000
A:@0.293771:0.397346:0.303655:0.397346:0.303655:0.380940:0.293771:0.380940:0.000000
D:@0.334064:0.397346:0.345587:0.397346:0.345587:0.380940:0.334064:0.380940:0.000000
 entonces  :@0.345513:0.397346:0.424896:0.397346:0.424896:0.381634:0.345513:0.381634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.424757:0.397929:0.437034:0.397929:0.437034:0.380275:0.424757:0.380275:0.000000
ABC:@0.436942:0.397346:0.465418:0.397346:0.465418:0.380940:0.436942:0.380940:0.000000:0.000000:0.000000
≅∆:@0.465363:0.397929:0.492882:0.397929:0.492882:0.380275:0.465363:0.380275:0.000000:0.000000
DEF:@0.492790:0.397346:0.520327:0.397346:0.520327:0.380940:0.492790:0.380940:0.000000:0.000000:0.000000
Tercer postulado: ALA:@0.073068:0.422212:0.238499:0.422212:0.238499:0.405543:0.073068:0.405543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dos ángulos y el lado comprendido ellos de un primer triángulo son respectivamente congruentes con dos :@0.073068:0.438854:0.870485:0.438854:0.870485:0.423141:0.073068:0.423141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos y el lado comprendido entre ellos de un segundo triángulo, los dos triángulos son congruentes.:@0.073068:0.455496:0.827586:0.455496:0.827586:0.439783:0.073068:0.439783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.073068:0.480930:0.089340:0.480930:0.089340:0.465217:0.073068:0.465217:0.000000:0.000000:0.000000
∡ ≅∡ ∡ ≅∡:@0.089248:0.481513:0.216773:0.481513:0.216773:0.463858:0.089248:0.463858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.104489:0.480930:0.114373:0.480930:0.114373:0.464524:0.104489:0.464524:0.000000
D,  B:@0.144782:0.480930:0.186272:0.480930:0.186272:0.464524:0.144782:0.464524:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.216681:0.480930:0.224799:0.480930:0.224799:0.464524:0.216681:0.464524:0.000000
 y :@0.224725:0.480930:0.240739:0.480930:0.240739:0.465217:0.224725:0.465217:0.000000:0.000000:0.000000
AB:@0.244297:0.482874:0.262907:0.482874:0.262907:0.466468:0.244297:0.466468:0.000000:0.000000
≅:@0.267396:0.481511:0.282730:0.481511:0.282730:0.463857:0.267396:0.463857:0.000000
DE:@0.285148:0.482874:0.304770:0.482874:0.304770:0.466468:0.285148:0.466468:0.000000:0.000000
 :@0.309320:0.481511:0.313921:0.481511:0.313921:0.463857:0.309320:0.463857:0.000000
 entonces  :@0.313829:0.480929:0.393213:0.480929:0.393213:0.465216:0.313829:0.465216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.393073:0.481511:0.405350:0.481511:0.405350:0.463857:0.393073:0.463857:0.000000
ABC:@0.405258:0.480929:0.433734:0.480929:0.433734:0.464523:0.405258:0.464523:0.000000:0.000000:0.000000
≅∆:@0.433679:0.481511:0.461198:0.481511:0.461198:0.463857:0.433679:0.463857:0.000000:0.000000
DEF:@0.461106:0.480929:0.488643:0.480929:0.488643:0.464523:0.461106:0.464523:0.000000:0.000000:0.000000
Para demostrar que dos triángulos son congruentes, se puede utilizar cualquiera de los siguientes métodos::@0.085923:0.509471:0.864316:0.509471:0.864316:0.493758:0.085923:0.493758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Demostrar que los tres lados de los dos triángulos son congruentes.:@0.082576:0.536834:0.603126:0.536834:0.603126:0.521121:0.082576:0.521121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Demostrar que dos lados y el ángulo entre ellos son congruentes.:@0.082576:0.553476:0.587574:0.553476:0.587574:0.537763:0.082576:0.537763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Demostrar que dos ángulos y el lado que los conecta son congruentes.:@0.082576:0.570118:0.627777:0.570118:0.627777:0.554405:0.082576:0.554405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.073091:0.606120:0.149463:0.606120:0.149463:0.589450:0.073091:0.589450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se sabe que :@0.073091:0.630985:0.179356:0.630985:0.179356:0.615273:0.073091:0.615273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.179172:0.631568:0.191450:0.631568:0.191450:0.613913:0.179172:0.613913:0.000000
ABC:@0.191358:0.630985:0.219834:0.630985:0.219834:0.614579:0.191358:0.614579:0.000000:0.000000:0.000000
≅∆:@0.219779:0.631568:0.247297:0.631568:0.247297:0.613913:0.219779:0.613913:0.000000:0.000000
DEF:@0.247205:0.630985:0.274743:0.630985:0.274743:0.614579:0.247205:0.614579:0.000000:0.000000:0.000000
, halla el valor de  ,  ,   y  .:@0.274687:0.630985:0.466233:0.630985:0.466233:0.615273:0.274687:0.615273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z w:@0.398384:0.630985:0.463104:0.630985:0.463104:0.614579:0.398384:0.614579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.233398:0.754171:0.243908:0.754171:0.243908:0.738835:0.233398:0.738835:0.000000
B:@0.484354:0.744979:0.493427:0.744979:0.493427:0.729643:0.484354:0.729643:0.000000
C:@0.121075:0.656143:0.131316:0.656143:0.131316:0.640806:0.121075:0.640806:0.000000
10cm:@0.137407:0.702219:0.177669:0.702219:0.177669:0.686883:0.137407:0.686883:0.000000:0.000000:0.000000:0.000000
122°:@0.258787:0.729697:0.290372:0.729697:0.290372:0.714361:0.258787:0.714361:0.000000:0.000000:0.000000:0.000000
26°:@0.399374:0.736980:0.422191:0.736980:0.422191:0.721643:0.399374:0.721643:0.000000:0.000000:0.000000
32°:@0.170716:0.682863:0.193534:0.682863:0.193534:0.667527:0.170716:0.667527:0.000000:0.000000:0.000000
w 24°:@0.634858:0.728466:0.679630:0.728466:0.679630:0.713129:0.634858:0.713129:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.647830:0.729034:0.656813:0.729034:0.656813:0.711803:0.647830:0.711803:0.000000
y:@0.548153:0.677936:0.556058:0.677936:0.556058:0.662599:0.548153:0.662599:0.000000
12cm:@0.328969:0.754171:0.369231:0.754171:0.369231:0.738835:0.328969:0.738835:0.000000:0.000000:0.000000:0.000000
17,5cm:@0.293603:0.691154:0.345760:0.691154:0.345760:0.675818:0.293603:0.675818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x 3,5cm:@0.704142:0.754171:0.764221:0.754171:0.764221:0.738835:0.704142:0.738835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.711850:0.754740:0.720833:0.754740:0.720833:0.737509:0.711850:0.737509:0.000000
z 3,8cm:@0.668777:0.691154:0.734372:0.691154:0.734372:0.675818:0.668777:0.675818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.676017:0.691723:0.690983:0.691723:0.690983:0.674492:0.676017:0.674492:0.000000
D:@0.608540:0.754171:0.620164:0.754171:0.620164:0.738835:0.608540:0.738835:0.000000
E:@0.861014:0.744979:0.869386:0.744979:0.869386:0.729643:0.861014:0.729643:0.000000
F:@0.500465:0.656671:0.508766:0.656671:0.508766:0.641334:0.500465:0.641334:0.000000
Se sabe que :@0.073089:0.788343:0.164915:0.788343:0.164915:0.772630:0.073089:0.772630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.164757:0.788925:0.177035:0.788925:0.177035:0.771271:0.164757:0.771271:0.000000
ABC:@0.176943:0.788343:0.205419:0.788343:0.205419:0.771937:0.176943:0.771937:0.000000:0.000000:0.000000
≅∆:@0.205363:0.788925:0.232882:0.788925:0.232882:0.771271:0.205363:0.771271:0.000000:0.000000
DEF:@0.232790:0.788343:0.260327:0.788343:0.260327:0.771937:0.232790:0.771937:0.000000:0.000000:0.000000
, luego las partes correspondientes de los triángulos serán congruentes. :@0.260272:0.788343:0.782974:0.788343:0.782974:0.772630:0.260272:0.772630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego,:@0.415537:0.813208:0.464468:0.813208:0.464468:0.797496:0.415537:0.797496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.464372:0.813208:0.475066:0.813208:0.475066:0.796802:0.464372:0.796802:0.000000:0.000000
–:@0.475011:0.813791:0.484215:0.813791:0.484215:0.796137:0.475011:0.796137:0.000000
3,5cm 12cm:@0.484123:0.813208:0.584442:0.813208:0.584442:0.797496:0.484123:0.797496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.528171:0.813791:0.543505:0.813791:0.543505:0.796137:0.528171:0.796137:0.000000
De donde :@0.423710:0.833428:0.500737:0.833428:0.500737:0.817715:0.423710:0.817715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.500616:0.833428:0.508071:0.833428:0.508071:0.817022:0.500616:0.817022:0.000000
=:@0.507997:0.834011:0.523330:0.834011:0.523330:0.816356:0.507997:0.816356:0.000000
15,5cm:@0.523238:0.833428:0.576306:0.833428:0.576306:0.817715:0.523238:0.817715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BC:@0.374199:0.855526:0.392992:0.855526:0.392992:0.839120:0.374199:0.839120:0.000000:0.000000
≅:@0.398396:0.856580:0.413729:0.856580:0.413729:0.838926:0.398396:0.838926:0.000000
EF:@0.417820:0.856157:0.433908:0.856157:0.433908:0.839751:0.417820:0.839751:0.000000:0.000000
 :@0.440319:0.856580:0.444921:0.856580:0.444921:0.838926:0.440319:0.838926:0.000000
luego, :@0.444829:0.855998:0.493693:0.855998:0.493693:0.840285:0.444829:0.840285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.493571:0.855998:0.500805:0.855998:0.500805:0.839592:0.493571:0.839592:0.000000
+:@0.500732:0.856580:0.516065:0.856580:0.516065:0.838926:0.500732:0.838926:0.000000
3,8cm 17,5cm:@0.515973:0.855998:0.628331:0.855998:0.628331:0.840285:0.515973:0.840285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.560021:0.856580:0.575355:0.856580:0.575355:0.838926:0.560021:0.838926:0.000000
De donde :@0.423808:0.876218:0.500835:0.876218:0.500835:0.860505:0.423808:0.860505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.500713:0.876218:0.507947:0.876218:0.507947:0.859812:0.500713:0.859812:0.000000
=:@0.507874:0.876800:0.523207:0.876800:0.523207:0.859146:0.507874:0.859146:0.000000
13,7cm:@0.523115:0.876218:0.576183:0.876218:0.576183:0.860505:0.523115:0.860505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅∡:@0.391650:0.897020:0.447277:0.897020:0.447277:0.879366:0.391650:0.879366:0.000000:0.000000:0.000000:0.000000
A:@0.406892:0.896438:0.416776:0.896438:0.416776:0.880032:0.406892:0.880032:0.000000
D:@0.447185:0.896438:0.458708:0.896438:0.458708:0.880032:0.447185:0.880032:0.000000
, luego, :@0.458634:0.896438:0.514585:0.896438:0.514585:0.880725:0.458634:0.880725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.514463:0.896438:0.527183:0.896438:0.527183:0.880032:0.514463:0.880032:0.000000
–:@0.527109:0.897020:0.536313:0.897020:0.536313:0.879366:0.527109:0.879366:0.000000
24º 122º:@0.536221:0.896438:0.608322:0.896438:0.608322:0.880725:0.536221:0.880725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.560150:0.897020:0.575484:0.897020:0.575484:0.879366:0.560150:0.879366:0.000000
De donde :@0.431115:0.916657:0.508142:0.916657:0.508142:0.900945:0.431115:0.900945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
w:@0.508021:0.916657:0.520740:0.916657:0.520740:0.900251:0.508021:0.900251:0.000000
=:@0.520667:0.917240:0.536000:0.917240:0.536000:0.899586:0.520667:0.899586:0.000000
146º:@0.535908:0.916657:0.568839:0.916657:0.568839:0.900945:0.535908:0.900945:0.000000:0.000000:0.000000:0.000000
 ∡ ≅∡:@0.414696:0.937460:0.474851:0.937460:0.474851:0.919806:0.414696:0.919806:0.000000:0.000000:0.000000:0.000000:0.000000
C:@0.434539:0.936877:0.444442:0.936877:0.444442:0.920471:0.434539:0.920471:0.000000
F:@0.474759:0.936877:0.482803:0.936877:0.482803:0.920471:0.474759:0.920471:0.000000
, luego, :@0.482729:0.936877:0.538680:0.936877:0.538680:0.921165:0.482729:0.921165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.538559:0.936877:0.546032:0.936877:0.546032:0.920471:0.538559:0.920471:0.000000
=:@0.545958:0.937460:0.561292:0.937460:0.561292:0.919806:0.545958:0.919806:0.000000
32º:@0.561200:0.936877:0.585221:0.936877:0.585221:0.921165:0.561200:0.921165:0.000000:0.000000:0.000000
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