Chapter 11, Problem 11STP

To determine

To find:the coordinates of the vertices after a clockwise rotation of ${90}^0$ about vertex E.

Answer to Problem 11STP

  $\begin{array}{l}{E}^{\prime }\left(-3,4\right)\\ F^{\prime }\left(4,4\right)\\ G^{\prime }\left(4,1\right)\end{array}$

Explanation of Solution

Given:

Triangle $EGF$ is shown on the coordinate grid below:

  

Calculation:

The graph ofthe $\Delta EGF$ with the rotation of ${90}^0$ about vertex E clockwise rotation about the origin $\Delta E^{\prime }{G}^{\prime }{F}^{\prime }$ .

Now, the coordinates of $\Delta E^{\prime }{G}^{\prime }{F}^{\prime }$ are

  $\begin{array}{l}{E}^{\prime }\left(-3,4\right)\\ G^{\prime }\left(4,4\right)\\ F^{\prime }\left(4,1\right)\end{array}$

Hence, thecoordinates of the vertices is $E^{\prime }\left(-3,4\right),F^{\prime }\left(4,4\right),G^{\prime }\left(4,1\right)$ .