Chapter 5.3, Problem 7E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In Exercises 5 to 8, name the method *
* that is used to show that the triangles are similar.*

To determine

**To name:**

The method that is used to show that the triangles are similar.

Explanation

**Given:**

The triangles,

**Approach:**

Two polygons are similar if and only if two conditions are satisfied.

1. All pairs of corresponding angles are congruent.

2. All pairs of corresponding sides are proportional.

**Definitions:**

AA:

If the two angles of one triangle are congruent to the two angles of a another triangle, then the triangles are similar.

SAS:

If an angle of one triangle is congruent to an angle of a second triangle and the pairs of sides including the angles are proportional (in length), then the triangles are similar.

SSS:

If the three sides of one triangle are proportional (in length) to the three corresponding sides of a second triangle, then the triangles are similar

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