# Diagonals of para

(i) OB = OD

OB = OD [In a parallelogram diagonals bisect each other]

(ii) OBY =ODX [Alternate interior angles are equal]

(iii) BOY= DOX [Vertically opposite angles are equal]

(iv) ΔBOY ΔDOX

In ΔBOY and ΔDOX

OB = OD [In a parallelogram diagonals bisect each other]

OBY =ODX [Alternate interior angles are equal]

BOY= DOX [Vertically opposite angles are equal]

ΔBOY ΔDOX [ASA rule]

Now, state if XY is bisected at O.

Hence OX = OY [Corresponding parts of congruent triangles]

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