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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

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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