Question

Classify each statement as true or false. If it is false, provide a counter example.

If points A and B are in plane M, then $\overline{\mathit{\text{AB}}}$is in plane M.

Short answer

The statement is True.

Step-by-step solution

Step 1. State the definition of plane.

A plane is a two-dimensional flat surface that extends to infinity.

Step 2. State the explanation.

Consider the example,

From the above diagram, the points A and B are in plane M, and $\overline{\mathit{\text{AB}}}$is also in plane M.

Step 3. State the conclusion.

Therefore, the statement True.