Question

In a parallelogram ABCD,2 points Per and Q are taken on diagonal BD such that DP=BQ
Show that

1) Triangle APD is congruent to triangle CQB

2) AP is congruent to CQ

3) AQ is congruent to CP

4) APCQ is a parallelogram

​

Answer 1

Answer:

1 DP=BQ (GIVEN)

AD=BC (ABCD IS A PARALLELOGRAM)

angle 1=angle 2 (ALTERNATIVE ANGLE)

Hence, ∆APD congruent to ∆CQB