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Question

In parallelogram ABCD,AP and CQ are perpendicular to diagonal BD.Statement 1:ΔAPBΔCQDStatement 2: SSS congruence is applied


Pick the correct option.

A
Both statements are correct
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B
Both statements are false
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C
Statement 1 is correct but 2 is false
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D
Statement 1 is false but 2 is correct
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Solution

The correct option is C Statement 1 is correct but 2 is false
In ΔAPB and ΔCQD,AB=CD (opposite sides of a parallelogram).ABP=CDQ (alternate angles).APB=CQD (both are right angles).ΔAPBΔCQD
(using AAS criterion)
Hence, statement 1 is correct but statement 2 is false

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