   Chapter 6.1, Problem 38E 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

If M N ↔ ∥ P Q ↔  in ⊙ O , explain why M N P Q 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.

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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