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Which triangle is similar to triangle AEB using the Pieces of Right Triangles Similarity Theorem?

Triangle ABC has measure of angle ABC equal to 90 degrees. E is a point on the hypotenuse AC such that the segment BE is perpendicular to AC. D is a point outside the triangle on the right of E so that triangle EDC has the measure of angle EDC equal to 90 degrees.

Triangle DCE

Triangle ECB

Triangle BEC

Triangle CED

Respuesta :

Answer:

Triangle BEC

Step-by-step explanation:

It is C because AEB and BEC is congruent.

Based on the information given, the triangle that is similar to triangle AEB is triangle BEC.

  • From the information given, it was stated that Triangle ABC has measure of angle ABC equal to 90 degrees and that E is a point on the hypotenuse AC such that the segment BE is perpendicular to AC.

  • Therefore, it should be noted that triangle AEB and triangle BEC are similar since they're congruent. This implies that they've the same shape and size.

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