Chapter 5.3, Problem 12E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 9 to 12, name the method that explains why *
*. See the figure in the right column.*

To determine

**To name:**

The method that explains why

Explanation

**Given:**

The triangle,

Here,

**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.

**Description:**

For the given triangle,

It is given that,

The given figure contains two triangles* DGH *and *DEF*

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