Question

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Prove that a cyclic parallelogram is a rectangle.

Answer 1

hi,

Opposite angles in a parallelogram are congruent, while opposite angles in a cyclic quadrilateral are supplementary.

Congruent supplementary angles are right angles, so opposite angles in a cyclic parallelogram are right angles. Thus all four angles are right angles, and it's a rectangle.

Answer 2

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Prove___

Any parallelogram cannot be cyclic. For any quadrilateral to be cyclic the sum of the opposite angles should be 180 deg. So the quadrilaterals that can be cyclic are definitely a square and a rectangle..

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