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CBSE Class 9 Answered

Prove that a cyclic parallelogram is a rectangle.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer

Let ABCD be a cyclic parallelogram.

... (1)

(Opp. angles of a cyclic quadrilateral)

We know that opposite angles of a parallelogram are equal.

From equation (1),

Parallelogram ABCD has one of its interior angles as 90°. Therefore, it is a rectangle.

Answered by | 04 Jun, 2014, 03:23: PM

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