Chapter 12, Problem 14PTTS

To determine

To find: The coordinates of the endpoints of the image after ${90}^{\circ }$ clockwise rotation.

Answer to Problem 14PTTS

The coordinates of the endpoints is $\text{<msup><mo>A</mo><mo>′</mo></msup> (-2,-3) and B(-6,-1)}$ of the image after a $90\circ$ clockwise rotation.

Explanation of Solution

Given information: Draw $\overline{\text{AB }}\text{ with endpoint A(2,3) and B(6,1)}\text{.}$

  $\begin{array}{l}{\text{To find the coordinates of the endpoints of the image after, a 90}}^{\circ }\text{ clockwise rotation, and explain your steps}\text{. }\\ \text{Then draw the image }\overline{\text{<msup><mo>A</mo><mo>′</mo></msup><msup><mo>B</mo><mo>′</mo></msup>}\text{.}}\end{array}$

Description: Now draw $\overline{\text{AB}}$ with endpoint $\text{A(2,3) and B(6,1)}$ .

If the coordinates of the endpoint is rotated ${90}^{\circ }\text{ clockwise}$ .

Then we get a new coordinate .

The new coordinates of the endpoints is $\text{<msup><mo>A</mo><mo>′</mo></msup> (-2-3) and <msup><mo>B</mo><mo>′</mo></msup> (-6,-1)}$ of the image a ${90}^{\circ }$ clockwise rotation.