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Quadrilaterals

ABCD is a qua...

Question

ABCD is a quadrilateral in which P, Q, R, and S are mid-points of the sides AB, BC, CD, and DA. AC is a diagonal. Show that: PQ=SR

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Solution

In $Δ$ ABC, P and Q are mid-points of AB and BC.
As per mid-point theorem,
PQ || AC
and $P Q = \frac{1}{2} A C$
Similarly, $S R = \frac{1}{2} A C$
∴ PQ = SR (Proved)

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