Chapter 4.8, Problem 40STP

To determine

The coordinates of point R.

Answer to Problem 40STP

  $\left(\mathrm{a},\mathrm{b}\right)$

Explanation of Solution

Given:

  

Calculation:

Since, $\overline{\mathrm{P}\mathrm{R}}\cong \overline{\mathrm{Q}\mathrm{R}}$

Symmetry shows that the x coordinate of R is one half of the x coordinate of Q which is 2a/2 = a.

There is no information to find the y-coordinates of R. The value of x-coordinate is a in option G, therefore, the coordinates of point R will be $\left(\mathrm{a},\mathrm{b}\right)$