   Chapter 2.2, Problem 18E ### 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 no two sides of a quadrilateral (figure with four sides) are parallel, then the quadrilateral is not a trapezoid.

To determine

To find:

An equivalent statement that must be true.

Explanation

Given:

The given statement is,

If no two sides of a quadrilateral (figure with four sides) are parallel, then the quadrilateral is not a trapezoid.

Approach:

Consider the given statement,

If no two sides of a quadrilateral (figure with four sides) are parallel, then the quadrilateral is not a trapezoid.

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

Where P is the quadrilateral is a trapezoid and Q is two sides of a quadrilateral are parallel...

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