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Elementary Geometry for College St...

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

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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 lines l and m are not perpendicular, then the angles formed by l and m are not right angles.

To determine

To find:

An equivalent statement that must be true.

Explanation

Given:

The given statement is,

If lines 𝓁 and m are not perpendicular, then the angles formed by 𝓁 and m are not right angles.

Approach:

Consider the given statement,

If lines 𝓁 and m are not perpendicular, then the angles formed by 𝓁 and m are not right angles.

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

Where P is the angles formed by 𝓁 and m are right angles and Q is lines 𝓁 and m are perpendicular

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