Chapter 4.6, Problem 12PSB

To determine

To show: If line segment $\overline{CM}\text{ is the median to }\overline{AB}$ .

Explanation of Solution

Given information:

A figure is given as below.

  

Calculation:

A figure is given as below.

  

Using mid-point formula,

  $\text{Mid point of line segment }\overline{AB}=\left(\frac{3+13}{2},\frac{4+\left(-6\right)}{2}\right)=\left(8,-1\right)$ .

Since, $M\left(7,0\right)$ is not the midpoint of $\overline{AB}$ .

Therefore, $\overline{CM}$ cannot be median of $\overline{AB}$ .