prove a cyclic parallelogram is rectangle

Asked by  | 7th Jun, 2008, 07:27: PM

Expert Answer:

Combine the two properties -

1. Opposite angles of a parallelogram are equal.

2. Opposite angles of a cyclic quadrilateral are supplementry.

It means each of opposite angles of a cyclic parallelogram is a right angle (180 / 2 = 90 degree).

So, all angles are right angles in cyclic parallelogram which makes it a rectangle.

Answered by  | 25th Jul, 2008, 05:00: PM

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