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D is a point on side QR of \DeltaPQR such that PD \perp QR. Will it be correct to say that \DeltaPQD ~ \DeltaRPD? Why?

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Answer : [False]

In \DeltaPQD and \DeltaRPD

PD = PD          (common side)

\angle PDQ = \angle PDR            (each 90o)

The given statement \Delta PQD \sim \Delta RPD is false.

Because according to the definition of similarity, two triangles are similar, if their corresponding angles are equal and their corresponding sides are in the same ratio

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