ABCD is a rectangle in which DP and BQ are the perpendiculars from D and B
respectively on the diagonal AC. Prove that DP = BQ.
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ABCD is rectangle which means its opposite sides are equal. We can prove ΔADP≅ΔCBQ by using AAS criterion according to which if two angles and one side of a triangle are equal to the two angles and one side of another triangle then the triangles are congruent. Then by CPCT we can prove ∠ADP=∠CBQ and side DP=BQ .
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