Question

1. polygon wxyz has vertices w(-2,1), x(1,3), y(2,2), and z(-1,0). graph the figure and its image after a counterclockwise rotation of 270° about the origin. then write the coordinates of polygon wxyz.

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point W

For $W(-2,1)$, using the rule $(x,y)\to(y, - x)$, we get $W'(1,2)$.

Step3: Apply rule to point X

For $X(1,3)$, using the rule $(x,y)\to(y, - x)$, we get $X'(3, - 1)$.

Step4: Apply rule to point Y

For $Y(2,2)$, using the rule $(x,y)\to(y, - x)$, we get $Y'(2, - 2)$.

Step5: Apply rule to point Z

For $Z(-1,0)$, using the rule $(x,y)\to(y, - x)$, we get $Z'(0,1)$.

Answer:

$W'(1,2)$, $X'(3, - 1)$, $Y'(2, - 2)$, $Z'(0,1)$