   Chapter 6.2, Problem 42E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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 ABCD is a parallelogram.

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

Therefore,

In ABCD mA+mC=180°...(1)

Since ABCD.

mB+mC=180°

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