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Chapter 5.2, Problem 26E
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### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

#### Solutions

Chapter
Section
BuyFindarrow_forward

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# Quadrilateral M N P Q ∼ quadrilateral W X Y Z (not shown), P Q = 5 , and Y Z = 7. If the longest side of M N P Q is of length 8 , find the length of the longest side of W X Y Z .

To determine

To calculate:

The longest side of WXYZ.

Explanation

Given:

Quadrilateral MNPQ~ quadrilateral WXYZ.

PQ=5Â andÂ YZ=7.

The longest side of MNPQ is 8.

Definition Used:

Similarity between Two polygons:

Two polygons are similar if and only if when all pairs of corresponding angles are congruent and all pairs of corresponding sides are proportional.

Calculation:

First, we have to draw a quadrilateral MNPQÂ andÂ WXYZ.

It is given that PQ=5Â andÂ YZ=7.

PQYZ=57YZ=75PQ

It is given that longest side of MNPQ is 8

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