   Chapter 6.2, Problem 41E 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 trapezoid is inscribed in a circle, then it is an isosceles trapezoid.

To determine

To provide:

A paragraph proof for the statement “If a trapezoid is inscribed in a circle, then it is an isosceles trapezoid”.

Explanation

Calculation:

Consider a trapezoid inscribed in a circle.

Proof:

From the figure, AB¯DC¯.

Since, the angles adjacent to AD¯ and CB¯ are supplementary.

mB+mC=180°…(1)

Now from the theorem “If a quadrilateral is inscribed in a circle, the opposite angles

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