   Chapter 2.2, Problem 17E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# For Exercises 15 to 18, the given statement is true. Write an equivalent (but more compact) statement that must be true.If all sides of a triangle are not congruent, then the triangle is not an equilateral triangle.

To determine

To find:

An equivalent statement that must be true.

Explanation

Given:

The given statement is,

If all sides of a triangle are not congruent, then the triangle is not an equilateral triangle.

Approach:

Consider the given statement,

If all sides of a triangle are not congruent, then the triangle is not an equilateral triangle.

The statement is in “if not Q, then not P” form that is the contrapositive of the conditional statement.

Where P is the triangle is an equilateral triangle and Q is all sides of a triangle are congruent...

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