   Chapter 4.CR, Problem 30CR 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

Review Exercises Given: ∆ T W X is an isosceles, with base W X - R Y - ∥ W X - Prove: R W X Y is an isoscels trapezoid To determine

To Prove:

The quadrilateral RWXY mube be an isosceles trapezoid.

Explanation

Proof:

Definition:

A trapezoid is a quadrilateral with exactly two parallel sides.

If the two legs of a trapezoid are congruent, the trapezoid is known as an isosceles trapezoid.

Description:

It is given that TWX is an isosceles, with base WX¯ and RY¯WX¯.

Since RY¯WX¯, quadrilateral RWXY must be a trapezoid by its definition.

As the TWX is an isosceles with base WX¯, its sides must be in equal measure

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