Chapter 5.2, Problem 5E

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

In Exercises 5 and 6, refer to the drawing.a) Given that A ↔ X , B ↔ T , and C ↔ N , write a statement claiming that the triangles shown are similar.b) Given that A ↔ N , C ↔ X , and B ↔ T , write a statement claiming that the triangles shown are similar.Exercises 5, 6

To determine

a)

To write:

A statement claiming that the triangles shown are 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:

The triangles ABC and XTN are similar.

Aâ†”X,Bâ†”T,andÂ Câ†”N.

Calculation:

According to the definition of similar polygons, the corresponding angles are congruent and corresponding sides are proportional

To determine

b)

To write:

A statement claiming that the triangles shown are similar.

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