Question

ABCD is a parellelogram and ABEF is a rectangle show that triangle AFD is congruent to triangle BEC

Answer 1

in triangle AFB and BEC
AF IS CONGRUENT TO BE
AFIIBE
BY SAS AFB IS CONGRUENT TO BEC

Answer 2

ABCD is a parallelogram. So, AD = BC. ABEF is a rectangle. So, AF = BC. We have AF parallel to BE, and AD parallel to BC. Therefore, angle(FAD) = angle(EBC). We have two sides and tge included angle to be equal in the two triangles. therefore, the two triangles are congruent.