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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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BuyFindarrow_forward

Elementary Geometry For College St...

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

In Exercises 5 to 8, name the method ( A A , S S S ~ ,   o r   S A S ~ ) that is used to show that the triangles are similar.

W U = 3 2 · T R , W V = 3 2 · T S ,   a n d   U V = 3 2 · R S

To determine

To name:

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

Explanation

Given:

The triangles,

WU=32·TR,WV=32·TS, and UV=32·RS.

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 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.

Description:

For the given triangle,

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