Question

Explain why any parallelogram that is inscribed in a circle must be a rectangle. Draw pictures and think about the properties of both cyclic quadrilaterals and parallelograms.

Answer 1

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. Opposite angles of a parallelogram are congruent. Supplementary angles that are congruent must be 90°. Hence an inscribed parallelogram must be a rectangle.