   Chapter 6.2, Problem 42E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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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