Chapter 2.2, Problem 17E

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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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