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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 1.CR, Problem 33CR
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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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State whether the sentences in Review Exercises 33 to 37 are always true (A), sometimes true (S), or never true (N).

If A M = M B , then A , M , and B are collinear.

To determine

To check:

The given statement is always true (A), sometimes true (S), or never true (N).

Explanation

Given:

The given statement is,

If AM=MB, then A,M, and B are collinear.

It is based on hypothesis and conclusion. Let AM=MB be the hypothesis and A,M, and B are collinear be the conclusion.

Definition:

When three or more points lie on a same straight line, then they are called collinear.

Approach:

It is given that AM=MB. It means that AM is the length of a line segment AM¯ and MB is the length of a line segment MB¯

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