Chapter 4.CR, Problem 30CR

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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 âˆ†TWX is an isosceles, with base WXÂ¯ and RYÂ¯âˆ¥WXÂ¯.

Since RYÂ¯âˆ¥WXÂ¯, quadrilateral RWXY must be a trapezoid by its definition.

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

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