Question

Use the given information and the figure to answer the question.

Answer 1

Answer:

Yes, Triangles ABE and CDB are similar by AA Similarity Postulate

Step-by-step explanation:

we know that

If two triangles are similar, then its corresponding angles are congruent

In this problem

Triangles ABE and CDB are similar by AA Similarity Postulate (the three interior angles are congruent)

Because

If BE is perpendicular to AD

then

BE is parallel to DC

therefore

m<EBA=m<DCB -----> by corresponding angles

m<AEB=m<DBC=90 ----> right angles

m<EAB=m<BCD -----> the sum of the interior angles of a triangle must be equal to 180 degrees