Chapter 5.2, Problem 9E

### 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

# Given: △ M N P ∼ △ Q R S , m ∠ M = 56 ∘ , m ∠ R = 82 ∘ , M N = 9 , Q R = 6 , R S = 7 , M P = 12 Find: a) m ∠ N c) N P b) m ∠ P d) Q S

To determine

a)

To find:

mN.

Explanation

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.

Given:

Î”MNPâˆ¼Î”QRS,mâˆ M=56âˆ˜,mâˆ R=82âˆ˜,MN=9,QR=6,RS=7,MP=12

Calculation:

We have Î”MNPâˆ¼Î”QRS

To determine

b)

To find:

mP.

To determine

c)

To find:

NP.

To determine

d)

To find:

QS.

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