Question

true or false? if a parallelogram is inscribed in a circle, it must be a rectangle. a. true b. false

Explanation:

In a cyclic quadrilateral (a quadrilateral inscribed in a circle), the opposite angles are supplementary (sum to 180°). In a parallelogram, opposite angles are equal. Let the opposite angles of the parallelogram - inscribed in the circle - be \(x\). Then \(x + x=180^{\circ}\), so \(x = 90^{\circ}\). A parallelogram with one - right angle is a rectangle.

Answer:

A. True