Chapter 13, Problem 17CR

To determine

To find the coordinate of midpoint of the segment

Answer to Problem 17CR

  $\left(0,b\right)$

Explanation of Solution

Given,

  $\text{P:(a,b)}$ and $\text{Q(-a,b)}$

If ${\text{P:(x}}_{\text{1}}{\text{,y}}_{\text{1}}\text{)}$ and ${\text{Q(x}}_2{\text{,y}}_2\text{)}$ , then

Coordinate of the midpoint of segment $\text{PQ}$ ,

  $\text{M : }\left(\frac{{\text{x}}_{\text{1}}+{\text{x}}_2}{2},\frac{{\text{y}}_{\text{1}}+{\text{y}}_2}{2}\right)$

Here, $\text{P:(a,b)}$ and $\text{Q(-a,b)}$ , then

Coordinate of the midpoint of segment $\text{PQ}$ ,

  $\begin{array}{l}\text{M : }\left(\frac{a-a}{2},\frac{b+b}{2}\right)\\ \text{ :}\left(0,b\right)\end{array}$