Question

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

Explanation:

Step1: Recall rotation rule

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

Step2: Find coordinates of vertices

Let's assume the coordinates of the vertices of polygon $ABCD$ are $A(x_1,y_1)$, $B(x_2,y_2)$, $C(x_3,y_3)$, $D(x_4,y_4)$. After rotation, the new coordinates will be $A'(y_1,-x_1)$, $B'(y_2,-x_2)$, $C'(y_3,-x_3)$, $D'(y_4,-x_4)$.

Step3: Plot new polygon

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

Since we don't have the actual coordinates of the vertices of polygon $ABCD$ given in the problem, the general steps for performing a 270 - counter - clockwise rotation about the origin are as above. To get the exact new polygon, we would need to know the specific coordinates of the vertices of the original polygon $ABCD$.

Answer:

Use the rule $(x,y)\to(y, - x)$ for each vertex of the original polygon $ABCD$ to find the vertices of the rotated polygon $A'B'C'D'$ and then plot them.