Question
In parallelogram ABCD,AP and CQ are perpendicular to diagonal BD.Statement 1:ΔAPB≅ΔCQDStatement 2: SSS congruence is applied
Pick the correct option.
Answer: Option C
:
C
In ΔAPB and ΔCQD,AB=CD (opposite sides of a parallelogram).∠ABP=∠CDQ (alternate angles).∠APB=∠CQD (both are right angles).∴ΔAPB≅ΔCQD
(using AAS criterion)
Hence, statement 1 is correct but statement 2 is false
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:
C
In ΔAPB and ΔCQD,AB=CD (opposite sides of a parallelogram).∠ABP=∠CDQ (alternate angles).∠APB=∠CQD (both are right angles).∴ΔAPB≅ΔCQD
(using AAS criterion)
Hence, statement 1 is correct but statement 2 is false
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