Chapter 9.2, Problem 13PSB

To determine

To find:The coordinates of H and $G\text{'}$

Answer to Problem 13PSB

The coordinates are $H=(7,1)$ and $G\text{'}=(-3,7)$

Explanation of Solution

Given information:The following coordinates are given

O − the center of circle is $(5,4)$

  $G=(3,7)$

Formula used:Linear addition of coordinates is done

Calculation:We know that O is the midpoint of H and G, thus we can say that

  $(5,4)=\left(\frac{x+3}{2},\frac{y+7}{2}\right)$

Thus, we find the values of x and y as

  $H=(7,1)$

Now, we know that for reflection over the y − axis, the x coordinate gets negative. Thus, if $G=(3,7)$ , then we can say that

  $G\text{'}=(-3,7)$