Question

What are the missing reasons in the proof. Given parallelogram ABCD with diagonal BD and prove triangle ABD is congruent with triangle CDB

Answer 1

By SSS congruency rule ΔABD ≅ ΔCBD

Explanation:

Given parallelogram ABCD with diagonal BD. we have to prove that ABD is congruent with triangle CDB.

In ΔABD and ΔCBD

AD=BC (Opposite sides of parallelogram)

AB=DC (Opposite sides of parallelogram)

DB=DB (common)

All three sides are equal.

Hence, By SSS congruency rule ΔABD ≅ ΔCBD

Answer 2

The answer is below.