ABCD is a parallelogram and so and Cq perpendicular from vertical a and c in diagonal Cx show that triangle apb = cqb and ap=iq
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In △APB and △CQD,
∠APB=∠CQD (Each 90
∘
)
AB=CD (Opposite sides of parallelogram ABCD)
∠ABP=∠CDQ (Alternate interior angles for AB∥CD)
∴△APB≅△CQD (By AAS congruency)
∴AP=CQ by CPCT
Hence proved.
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