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Chapter 1: Q22 (page 14)

State the following statement is true or not.

If AB=BC, then point B must be the midpoint of AC.

Short Answer

Expert verified

The statement is not always true.

Step by step solution

01

Step 1. Check the figures.

02

Step 2. Step description.

For the first figure, A, B, and C are collinear.

So, the statement is true when A, B, and C are collinear.

Thus, if AB=BC then point B must be the midpoint of ACif A, B, and C are collinear.

03

Step 3. Step description.

For the second figure, if AB=BC, then M is the midpoint.

Thus, the statement is not true for the second figure.

Therefore, the statement is not always true.

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