Answer :

__Given:-__ ABCD is parallelogram

__Formula used :__- AAS property

If 2 angles and any one side is are equal in both triangle

Then both triangles are congruent

__Solution:-__

In Δ APB and Δ CQD

∠ CQD=∠ APB=90°

If ABCD is a parallelogram

∠ CDB=∠ DBA [alternate angles as DC||AB]

AB=DC [opposite sides of parallelogram are equal]

By AAS property

∴ Δ APB ≅ Δ CQD

If Δ APB ≅ Δ CQD

Then

AP=CQ

__Conclusion:-__

In parallelogram ABCD; Δ APB ≅ Δ CQD

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