Chapter 5.3, Problem 4E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Classify as true or false:

a) If the midpoints of two sides of a triangle are joined, the triangle formed is similar to the original triangle.

b) Any two isosceles triangles are similar.

To determine

**a)**

**To classify:**

The given statement “If the midpoints of two sides of a triangle are joined, the triangle formed is similar to the original triangle.” is true or false.

Explanation

**Given:**

The statement, “If the midpoints of two sides of a triangle are joined, the triangle formed is similar to the original triangle.”

**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...

To determine

**b)**

**To classify:**

The given statement “Any two isosceles triangles are similar.” is true or false.

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