Question

ABCD is a parallelogram and AP anf CQ are perpendicular from vertices A and C on diagonal BD. Show that:

1. Triangle APB is congruent with triangle CQD.
2. AP = CQ.

Answer 1

HEYA...
FRIEND....

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HERE YOUR ANSWER YOUR.
QUESTION
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Given = ABCD is a parallelogram
To Prove = AP = CQ

Proof = Δ APB and Δ CQD

= ∠APB = ∠CQD
[ EACH RIGHT ANGLE ]

= AB = CD (opposite sides of parallelogram ABCD).

= ∠ABP = ∠CDQ (Alternate interior angles for AB||CD).

Δ APB is congruent to Δ CQD [ AAS ]

= AP = CQ [CPCT]

PROVED......

THANKYOU....

Answer 2

Hey Friend!!!

Here's your answer in the attachment...

Hope this helps you...^_^