Chapter 1: Q22 (page 14)

State the following statement is true or not.
If $A B = B C$ , then point B must be the midpoint of $A C$ .

Short Answer

Expert verified

The statement is not always true.

Step by step solution

Step 1. Check the figures.

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 $A B = B C$ then point B must be the midpoint of $A C$ if A, B, and C are collinear.

Step 3. Step description.

For the second figure, if $A B = B C$ , 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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State the following statement is true or not.
If $A B = B C$ , then point B must be the midpoint of $A C$ .

Short Answer

Step by step solution

Step 1. Check the figures.

Step 2. Step description.

Step 3. Step description.

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State the following statement is true or not.If AB=BC, then point B must be the midpoint of AC.

Short Answer

Step by step solution

Step 1. Check the figures.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Study anywhere. Anytime. Across all devices.

State the following statement is true or not.
If $A B = B C$ , then point B must be the midpoint of $A C$ .