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 $\overline{AB}$ is also in plane $M$.

Step 3. State the conclusion.

Therefore, the statement True.