236:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Geometría:@0.073089:0.043661:0.168070:0.043661:0.168070:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 6. Congruencia de triángulos:@0.073089:0.098522:0.587485:0.098522:0.587485:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dibuja dos triángulos que tengan los siguientes ángulos::@0.293660:0.169928:0.704267:0.169928:0.704267:0.154216:0.293660:0.154216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.293660:0.186570:0.298207:0.186570:0.298207:0.170857:0.293660:0.170857:0.000000
Triángulo 1: 30°, 60°, 90°:@0.323861:0.186570:0.495789:0.186570:0.495789:0.170857:0.323861:0.170857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.293660:0.203212:0.298207:0.203212:0.298207:0.187499:0.293660:0.187499:0.000000
Triángulo 2: 30°, 60°, 90°:@0.323861:0.203212:0.495789:0.203212:0.495789:0.187499:0.323861:0.187499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición de congruencia :@0.306493:0.250660:0.510250:0.250660:0.510250:0.233990:0.306493:0.233990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dos polígonos son congruentes sí y solo sí sus partes correspondientes son :@0.303147:0.267303:0.921352:0.267303:0.921352:0.251590:0.303147:0.251590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
congruentes.:@0.303147:0.283945:0.398421:0.283945:0.398421:0.268232:0.303147:0.268232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.416965:0.398683:0.428231:0.398683:0.428231:0.382013:0.416965:0.382013:0.000000
B:@0.576280:0.398683:0.586257:0.398683:0.586257:0.382013:0.576280:0.382013:0.000000
C:@0.495748:0.306543:0.506425:0.306543:0.506425:0.289873:0.495748:0.289873:0.000000
D:@0.625849:0.398683:0.638108:0.398683:0.638108:0.382013:0.625849:0.382013:0.000000
E:@0.785624:0.398683:0.794680:0.398683:0.794680:0.382013:0.785624:0.382013:0.000000
F:@0.704632:0.306543:0.713597:0.306543:0.713597:0.289873:0.704632:0.289873:0.000000
∆:@0.562419:0.427594:0.574697:0.427594:0.574697:0.409940:0.562419:0.409940:0.000000
ABC:@0.574605:0.427012:0.603081:0.427012:0.603081:0.410606:0.574605:0.410606:0.000000:0.000000:0.000000
≅∆:@0.603026:0.427594:0.630545:0.427594:0.630545:0.409940:0.603026:0.409940:0.000000:0.000000
DEF:@0.630453:0.427012:0.657990:0.427012:0.657990:0.410606:0.630453:0.410606:0.000000:0.000000:0.000000
AB:@0.479260:0.449749:0.497870:0.449749:0.497870:0.433343:0.479260:0.433343:0.000000:0.000000
≅:@0.502360:0.448386:0.517693:0.448386:0.517693:0.430732:0.502360:0.430732:0.000000
DE:@0.520111:0.449749:0.539733:0.449749:0.539733:0.433343:0.520111:0.433343:0.000000:0.000000
AC:@0.579247:0.448581:0.597767:0.448581:0.597767:0.433140:0.579247:0.433140:0.000000:0.000000
≅:@0.602559:0.448386:0.617892:0.448386:0.617892:0.430732:0.602559:0.430732:0.000000
DF:@0.620310:0.449749:0.639859:0.449749:0.639859:0.433343:0.620310:0.433343:0.000000:0.000000
       :@0.644482:0.448386:0.676695:0.448386:0.676695:0.430732:0.644482:0.430732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
BC:@0.678561:0.449119:0.697355:0.449119:0.697355:0.432713:0.678561:0.432713:0.000000:0.000000
≅:@0.702760:0.448386:0.718093:0.448386:0.718093:0.430732:0.702760:0.430732:0.000000
EF:@0.722184:0.449749:0.738272:0.449749:0.738272:0.433343:0.722184:0.433343:0.000000:0.000000
∡ ≅∡:@0.485654:0.468601:0.541281:0.468601:0.541281:0.450947:0.485654:0.450947:0.000000:0.000000:0.000000:0.000000
A:@0.500896:0.468019:0.510780:0.468019:0.510780:0.451613:0.500896:0.451613:0.000000
D        B:@0.541189:0.468019:0.599448:0.468019:0.599448:0.451613:0.541189:0.451613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ ≅∡        ∡ ≅∡:@0.575371:0.468601:0.725114:0.468601:0.725114:0.450947:0.575371:0.450947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
E:@0.629857:0.468019:0.637974:0.468019:0.637974:0.451613:0.629857:0.451613:0.000000
C:@0.685355:0.468019:0.695258:0.468019:0.695258:0.451613:0.685355:0.451613:0.000000
F:@0.725022:0.468019:0.733066:0.468019:0.733066:0.451613:0.725022:0.451613:0.000000
Propiedades de la congruencia:@0.293630:0.495284:0.517974:0.495284:0.517974:0.479571:0.293630:0.479571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.293660:0.520142:0.305772:0.520142:0.305772:0.504429:0.293660:0.504429:0.000000:0.000000
Reflexiva: :@0.323861:0.520142:0.399394:0.520142:0.399394:0.503472:0.323861:0.503472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todo triángulo es congruente con él mismo.:@0.399276:0.520142:0.718642:0.520142:0.718642:0.504429:0.399276:0.504429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.562014:0.545590:0.574292:0.545590:0.574292:0.527936:0.562014:0.527936:0.000000
ABC:@0.574200:0.545007:0.602676:0.545007:0.602676:0.528601:0.574200:0.528601:0.000000:0.000000:0.000000
≅∆:@0.602621:0.545590:0.630140:0.545590:0.630140:0.527936:0.602621:0.527936:0.000000:0.000000
ABC:@0.630048:0.545007:0.658524:0.545007:0.658524:0.528601:0.630048:0.528601:0.000000:0.000000:0.000000
2.:@0.293660:0.569866:0.305772:0.569866:0.305772:0.554153:0.293660:0.554153:0.000000:0.000000
Simétrica::@0.323861:0.569866:0.398573:0.569866:0.398573:0.553196:0.323861:0.553196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si :@0.398466:0.569866:0.417021:0.569866:0.417021:0.554153:0.398466:0.554153:0.000000:0.000000:0.000000:0.000000
∆:@0.416910:0.570448:0.429188:0.570448:0.429188:0.552794:0.416910:0.552794:0.000000
ABC:@0.429096:0.569866:0.457572:0.569866:0.457572:0.553459:0.429096:0.553459:0.000000:0.000000:0.000000
≅∆:@0.457516:0.570448:0.485035:0.570448:0.485035:0.552794:0.457516:0.552794:0.000000:0.000000
DEF:@0.484943:0.569866:0.512481:0.569866:0.512481:0.553459:0.484943:0.553459:0.000000:0.000000:0.000000
, entonces :@0.512425:0.569866:0.590980:0.569866:0.590980:0.554153:0.512425:0.554153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.590840:0.570448:0.603118:0.570448:0.603118:0.552794:0.590840:0.552794:0.000000
DEF:@0.603026:0.569866:0.630563:0.569866:0.630563:0.553459:0.603026:0.553459:0.000000:0.000000:0.000000
≅∆:@0.630508:0.570448:0.658027:0.570448:0.658027:0.552794:0.630508:0.552794:0.000000:0.000000
ABC:@0.657935:0.569866:0.686411:0.569866:0.686411:0.553459:0.657935:0.553459:0.000000:0.000000:0.000000
3.:@0.293660:0.594726:0.305772:0.594726:0.305772:0.579014:0.293660:0.579014:0.000000:0.000000
Transitiva: :@0.323861:0.594726:0.403734:0.594726:0.403734:0.578057:0.323861:0.578057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si :@0.403620:0.594726:0.418217:0.594726:0.418217:0.579014:0.403620:0.579014:0.000000:0.000000:0.000000
∆:@0.418125:0.595309:0.430403:0.595309:0.430403:0.577654:0.418125:0.577654:0.000000
ABC:@0.430311:0.594726:0.458787:0.594726:0.458787:0.578320:0.430311:0.578320:0.000000:0.000000:0.000000
≅∆:@0.458731:0.595309:0.486250:0.595309:0.486250:0.577654:0.458731:0.577654:0.000000:0.000000
DEF :@0.486158:0.594726:0.516935:0.594726:0.516935:0.578320:0.486158:0.578320:0.000000:0.000000:0.000000:0.000000
y :@0.516898:0.594726:0.528955:0.594726:0.528955:0.579014:0.516898:0.579014:0.000000:0.000000
∆:@0.528863:0.595309:0.541141:0.595309:0.541141:0.577654:0.528863:0.577654:0.000000
DEF:@0.541049:0.594726:0.568586:0.594726:0.568586:0.578320:0.541049:0.578320:0.000000:0.000000:0.000000
≅∆:@0.568531:0.595309:0.596049:0.595309:0.596049:0.577654:0.568531:0.577654:0.000000:0.000000
GHI:@0.595957:0.594726:0.621636:0.594726:0.621636:0.578320:0.595957:0.578320:0.000000:0.000000:0.000000
, entonces :@0.621580:0.594726:0.700135:0.594726:0.700135:0.579014:0.621580:0.579014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.699995:0.595309:0.712273:0.595309:0.712273:0.577654:0.699995:0.577654:0.000000
ABC:@0.712181:0.594726:0.740657:0.594726:0.740657:0.578320:0.712181:0.578320:0.000000:0.000000:0.000000
≅∆:@0.740602:0.595309:0.768120:0.595309:0.768120:0.577654:0.740602:0.577654:0.000000:0.000000
GHI:@0.768028:0.594726:0.793707:0.594726:0.793707:0.578320:0.768028:0.578320:0.000000:0.000000:0.000000
Teorema::@0.293655:0.644444:0.365469:0.644444:0.365469:0.627774:0.293655:0.627774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si dos ángulos de un triángulo son congruentes con dos ángulos de un :@0.365720:0.644444:0.931391:0.644444:0.931391:0.628731:0.365720:0.628731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo triángulo, entonces, el tercer ángulo de cada triángulo es congruente con el :@0.293655:0.661086:0.931017:0.661086:0.931017:0.645373:0.293655:0.645373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otro.:@0.293655:0.677727:0.326720:0.677727:0.326720:0.662015:0.293655:0.662015:0.000000:0.000000:0.000000:0.000000:0.000000
Hipótesis::@0.297956:0.707838:0.372258:0.707838:0.372258:0.691168:0.297956:0.691168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se tienen los triángulos :@0.372155:0.707838:0.547606:0.707838:0.547606:0.692125:0.372155:0.692125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∆:@0.547356:0.708420:0.559633:0.708420:0.559633:0.690766:0.547356:0.690766:0.000000
ABC:@0.559541:0.707838:0.588017:0.707838:0.588017:0.691432:0.559541:0.691432:0.000000:0.000000:0.000000
   ∆:@0.587962:0.708420:0.617377:0.708420:0.617377:0.690766:0.587962:0.690766:0.000000:0.000000:0.000000:0.000000
y:@0.592472:0.707838:0.600571:0.707838:0.600571:0.692125:0.592472:0.692125:0.000000
DEF:@0.617285:0.707838:0.644822:0.707838:0.644822:0.691432:0.617285:0.691432:0.000000:0.000000:0.000000
. Se sabe que:@0.644675:0.707838:0.739630:0.707838:0.739630:0.692125:0.644675:0.692125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ∡ ≅∡  ∡ ≅∡:@0.739472:0.708420:0.870053:0.708420:0.870053:0.690766:0.739472:0.690766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.759315:0.707838:0.769200:0.707838:0.769200:0.691432:0.759315:0.691432:0.000000
D:@0.799517:0.707838:0.811039:0.707838:0.811039:0.691432:0.799517:0.691432:0.000000
B:@0.830809:0.707838:0.839644:0.707838:0.839644:0.691432:0.830809:0.691432:0.000000
E:@0.869961:0.707838:0.878079:0.707838:0.878079:0.691432:0.869961:0.691432:0.000000
Tesis::@0.297937:0.727239:0.337325:0.727239:0.337325:0.710570:0.297937:0.710570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.337237:0.727239:0.341268:0.727239:0.341268:0.711527:0.337237:0.711527:0.000000
∡ ≅∡:@0.341194:0.727822:0.396839:0.727822:0.396839:0.710168:0.341194:0.710168:0.000000:0.000000:0.000000:0.000000
C:@0.356436:0.727239:0.366339:0.727239:0.366339:0.710833:0.356436:0.710833:0.000000
F:@0.396747:0.727239:0.404791:0.727239:0.404791:0.710833:0.396747:0.710833:0.000000
Demostración:@0.297937:0.743354:0.405187:0.743354:0.405187:0.726685:0.297937:0.726685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Proposiciones:@0.377714:0.759469:0.483823:0.759469:0.483823:0.742799:0.377714:0.742799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Argumentos:@0.697504:0.759469:0.796258:0.759469:0.796258:0.742799:0.697504:0.742799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ +∡ +∡ ≅:@0.354356:0.780091:0.474297:0.780091:0.474297:0.762437:0.354356:0.762437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.369597:0.779509:0.379481:0.779509:0.379481:0.763102:0.369597:0.763102:0.000000
B:@0.409890:0.779509:0.418726:0.779509:0.418726:0.763102:0.409890:0.763102:0.000000
C:@0.449134:0.779509:0.459038:0.779509:0.459038:0.763102:0.449134:0.763102:0.000000
180º :@0.474205:0.779509:0.511149:0.779509:0.511149:0.763796:0.474205:0.763796:0.000000:0.000000:0.000000:0.000000:0.000000
∡ +∡ +∡ ≅:@0.354797:0.796733:0.473800:0.796733:0.473800:0.779079:0.354797:0.779079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.370039:0.796150:0.381561:0.796150:0.381561:0.779744:0.370039:0.779744:0.000000
E:@0.411970:0.796150:0.420088:0.796150:0.420088:0.779744:0.411970:0.779744:0.000000
F:@0.450497:0.796150:0.458541:0.796150:0.458541:0.779744:0.450497:0.779744:0.000000
180º:@0.473708:0.796150:0.506639:0.796150:0.506639:0.780438:0.473708:0.780438:0.000000:0.000000:0.000000:0.000000
La suma de los ángulos interiores de un triángulo :@0.571083:0.776305:0.926514:0.776305:0.926514:0.760592:0.571083:0.760592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da 180º.:@0.571083:0.792947:0.629323:0.792947:0.629323:0.777234:0.571083:0.777234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ +∡ +∡ =∡ +∡ +∡:@0.318866:0.816772:0.534507:0.816772:0.534507:0.799118:0.318866:0.799118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.334108:0.816190:0.343992:0.816190:0.343992:0.799784:0.334108:0.799784:0.000000
B:@0.374401:0.816190:0.383237:0.816190:0.383237:0.799784:0.374401:0.799784:0.000000
C:@0.413645:0.816190:0.423548:0.816190:0.423548:0.799784:0.413645:0.799784:0.000000
D:@0.453957:0.816190:0.465480:0.816190:0.465480:0.799784:0.453957:0.799784:0.000000
E:@0.495889:0.816190:0.504007:0.816190:0.504007:0.799784:0.495889:0.799784:0.000000
F:@0.534415:0.816190:0.542459:0.816190:0.542459:0.799784:0.534415:0.799784:0.000000
Ley transitiva de la igualdad.:@0.571046:0.812986:0.774792:0.812986:0.774792:0.797274:0.571046:0.797274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ =∡:@0.397116:0.836812:0.452742:0.836812:0.452742:0.819158:0.397116:0.819158:0.000000:0.000000:0.000000:0.000000
A:@0.412357:0.836229:0.422241:0.836229:0.422241:0.819823:0.412357:0.819823:0.000000
D:@0.452650:0.836229:0.464173:0.836229:0.464173:0.819823:0.452650:0.819823:0.000000
∡ =∡:@0.399343:0.853454:0.453920:0.853454:0.453920:0.835800:0.399343:0.835800:0.000000:0.000000:0.000000:0.000000
B:@0.414584:0.852871:0.423420:0.852871:0.423420:0.836465:0.414584:0.836465:0.000000
E:@0.453828:0.852871:0.461946:0.852871:0.461946:0.836465:0.453828:0.836465:0.000000
Las medidas de los ángulos son iguales porque :@0.571027:0.833026:0.926609:0.833026:0.926609:0.817313:0.571027:0.817313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son ángulos congruentes.:@0.571027:0.849668:0.758575:0.849668:0.758575:0.833955:0.571027:0.833955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ =∡:@0.398827:0.888526:0.454473:0.888526:0.454473:0.870872:0.398827:0.870872:0.000000:0.000000:0.000000:0.000000
C:@0.414069:0.887944:0.423972:0.887944:0.423972:0.871538:0.414069:0.871538:0.000000
F:@0.454381:0.887944:0.462425:0.887944:0.462425:0.871538:0.454381:0.871538:0.000000
Porque en la igualdad se pueden cancelar los :@0.571009:0.869707:0.926401:0.869707:0.926401:0.853995:0.571009:0.853995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores iguales que están en lados diferentes de :@0.571009:0.886349:0.926459:0.886349:0.926459:0.870636:0.571009:0.870636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la ecuación.:@0.571009:0.902991:0.656676:0.902991:0.656676:0.887278:0.571009:0.887278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∡ =∡:@0.398809:0.923613:0.454454:0.923613:0.454454:0.905959:0.398809:0.905959:0.000000:0.000000:0.000000:0.000000
C:@0.414050:0.923031:0.423953:0.923031:0.423953:0.906624:0.414050:0.906624:0.000000
F:@0.454362:0.923031:0.462406:0.923031:0.462406:0.906624:0.454362:0.906624:0.000000
Conclusión del teorema.:@0.570991:0.919827:0.747641:0.919827:0.747641:0.904114:0.570991:0.904114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.078198:0.251770:0.244572:0.251770:0.244572:0.234823:0.078198:0.234823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas y la :@0.078198:0.268411:0.203875:0.268411:0.203875:0.252699:0.078198:0.252699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arquitectura:@0.078198:0.285053:0.166715:0.285053:0.166715:0.269341:0.078198:0.269341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las Torres Petronas, :@0.079055:0.315872:0.209551:0.315872:0.209551:0.301588:0.079055:0.301588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ubicadas en Kuala Lumpur, :@0.079055:0.331001:0.259784:0.331001:0.259784:0.316717:0.079055:0.316717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la capital de Malasia, son :@0.079055:0.346130:0.244429:0.346130:0.244429:0.331846:0.079055:0.331846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
actualmente las torres :@0.079055:0.361259:0.228557:0.361259:0.228557:0.346975:0.079055:0.346975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gemelas más altas del :@0.079055:0.376388:0.227265:0.376388:0.227265:0.362104:0.079055:0.362104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mundo. Con una altura :@0.079055:0.391517:0.235037:0.391517:0.235037:0.377233:0.079055:0.377233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 452 metros y 88 pisos :@0.079055:0.406646:0.245919:0.406646:0.245919:0.392361:0.079055:0.392361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construidos de hormigón :@0.079055:0.421775:0.251206:0.421775:0.251206:0.407490:0.079055:0.407490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
armado, acero y vidrio, :@0.079055:0.436904:0.231203:0.436904:0.231203:0.422619:0.079055:0.422619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se han convertido en un :@0.079055:0.452033:0.243496:0.452033:0.243496:0.437748:0.079055:0.437748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
símbolo icónico de Kuala :@0.079055:0.467162:0.248084:0.467162:0.248084:0.452877:0.079055:0.452877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Lumpur y de Malasia.:@0.079055:0.482290:0.218351:0.482290:0.218351:0.468006:0.079055:0.468006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las Torres Petronas :@0.079055:0.602845:0.206895:0.602845:0.206895:0.588561:0.079055:0.588561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestran cómo los :@0.079055:0.617974:0.210264:0.617974:0.210264:0.603690:0.079055:0.603690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conceptos geométricos, :@0.079055:0.633103:0.242324:0.633103:0.242324:0.618819:0.079055:0.618819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como la congruencia :@0.079055:0.648232:0.222727:0.648232:0.222727:0.633948:0.079055:0.633948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de figuras, se aplican :@0.079055:0.663361:0.219161:0.663361:0.219161:0.649077:0.079055:0.649077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la creación de :@0.079055:0.678490:0.194847:0.678490:0.194847:0.664206:0.079055:0.664206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
edificios imponentes y :@0.079055:0.693619:0.231527:0.693619:0.231527:0.679335:0.079055:0.679335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estéticamente agradables.:@0.079055:0.708748:0.252006:0.708748:0.252006:0.694464:0.079055:0.694464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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