Chapter 5.2, Problem 3E

### 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

# a) Are any two regular pentagons similar?b) Are any two equiangular pentagons similar?

To determine

a)

To find:

Can any two regular pentagons similar.

Explanation

Definition:

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:

Consider two regular pentagons.

Calculation:

Consider two regular pentagons ABCDE and FGHIJ.

To determine

b)

To find:

Can any two equiangular pentagons similar.

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