Chapter 6.2, Problem 42E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 39 to 47, provide a paragraph proof. Be sure to provide a drawing, Given, and Prove where needed.*

If a parallelogram is inscribed in a circle, then it is a rectangle.

To determine

**To prove:**

The given statement, “If a parallelogram is inscribed in a circle, then it is a rectangle.” by providing a paragraph proof.

Explanation

Consider a parallelogram inscribed in a circle.

Proof:

Let

By theorem, If a quadrilateral is inscribed in a circle the opposite angles are supplementary.

Therefore,

In

Since

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