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Elementary Geometry for College St...

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

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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If M N P Q  in O , explain why M N P Q is an isosceles trapezoid.

(HINT: Draw a diagonal.)

Chapter 6.1, Problem 38E, If MNPQin O, explain why MNPQ is an isosceles trapezoid. HINT: Draw a diagonal.

To determine

To explain:

The MNPQ is an isosceles trapezoid by using the provided figure.

Explanation

Given:

The MNPQ, in O shown below.

Postulate used:

Theorem:

The measure of an inscribed angles is equal to the one-half the measure of its intercepted arc.

Arc-addition postulate:

If AB and BC intersect only at point, then mAB+mBC=mABC.

Calculation:

Since, M and P both are inscribed angles and NPQ and QMN are intercepted arcs.

Since, there is a theorem state that the measure of an inscribed angles is equal to the one-half the measure of its intercepted arc.

M=12(mNPQ)P=12(mQMN)

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