Chapter 11.5, Problem 9IP

To determine

To graph a figure with given coordinates of the vertices and then obtaining its image after a rotation of ${270}^0$ about the origin.

Explanation of Solution

Given:

Coordinates of the vertices of the figure $KLMN$

  $K(1,-1)$, $L(3,-4)$, $M(-5,3)$, $N(-1,-4)$

Graph:

By using the above coordinates, draw the graph.

  

Interpretation:

In the above graph, the shaded portion shows figure $KLMN$ .

Graph of the image:

Let $K\text{'}L\text{'}M\text{'}N\text{'}$ be the image of $KLMN$ after a clockwise rotation of ${270}^0$ about the origin.

  

Interpretation:

The shaded portion in the above graph shows the figure $K\text{'}L\text{'}M\text{'}N\text{'}$ .