Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 15 of 22 true or false? if a parallelogram is inscribed in a c…

Question

question 15 of 22 true or false? if a parallelogram is inscribed in a circle, it must be a rectangle. a. true b. false

Explanation:

Brief Explanations

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

Answer:

A. True