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Hope it will help you
Step-by-step explanation:
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Step-by-step explanation:
Given: ABCD is a parallelogram
with AP bisector to BD & CQ bisector to BD
to prove: triangle APB congruent with to triangle CQD
Proof:
ABDC
(Opposite sides of parallelogram are parallel
and transversal BD.)
ABP = CDQ. (Alternate angles) (1)
In APB and CQD,
APB- CQD (Both are 90")
ABP = CDQ (From (1)
AB = CD (Opposite sides of parallelogram are equal)
AAPB ACQD ( AAS congruence rule)
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