Question

4 rotate the figure below 270° counterclockwise. click to select polygon abcd

Explanation:

Step1: Recall rotation rule

A 270 - degree counter - clockwise rotation about the origin has the rule $(x,y)\to(y, - x)$.

Step2: Apply rule to each vertex

For example, if vertex A has coordinates $(x_A,y_A)$, its new coordinates $A'$ after 270 - degree counter - clockwise rotation will be $(y_A,-x_A)$. Do this for all vertices B, C, and D of the polygon.

Step3: Plot new vertices

Plot the new vertices $A'$, $B'$, $C'$, and $D'$ on the coordinate plane and connect them to form the rotated polygon $A'B'C'D'$.

Answer:

The rotated polygon $A'B'C'D'$ is shown in red on the provided graph.