Q. 253.7( 3 Votes )
Diagonals of para
Answer :
(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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