Chapter 11.3, Problem 19HP

To determine

To find: the coordinates of $\Delta RST.$

Answer to Problem 19HP

The coordinates of $\Delta RST$ are $R(1,5),S(0,-2),T(-6,3)$

Explanation of Solution

Given information:

Consider $R\text{'}(-5,1),S\text{'}(2,0),T\text{'}(-3,-6)$

  $\Delta RST$ is ${270}^0$ clock wise about the origin.

Calculation:

Transformation of ${270}^0$ clock wise about the origin is $(x,y)\Rightarrow (-y,x)$

  $\begin{array}{l}(-y,x)\Rightarrow R\text{'}(-5,1),S\text{'}(2,0),T\text{'}(-3,-6)\\ (x,y)=R(1,5),S(0,-2),T(-6,3)\end{array}$

Hence, the coordinates of $\Delta RST$ are $R(1,5),S(0,-2),T(-6,3)$