Q21 of 141 Page 400

In the adjoining figure, is a square. A circle drawn with center cuts the suare in and Prove that


In triangle OPX and triangle ORY,


OX = OY [Radius]


∠OPX = ∠ORY [Common]


OP = OR [Sides of square]


By side-angle-side criterion of congruence,


ΔOPX ≅ ΔORY


∴ PX = RY


⇒ PQ – PX = QR – RY [PQ = QR]


⇒ QX = QY Proved.


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