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
