Question

graph the polygon with the vertices a(-3,2), b(2,4), c(3,1) and its image after a counterclockwise rotation of 90° about the origin.

Explanation:

Step1: Recall rotation rule

The rule for a counter - clockwise rotation of 90° about the origin is $(x,y)\to(-y,x)$.

Step2: Rotate point A

For point $A(-3,2)$, using the rule $(x,y)\to(-y,x)$, we get $A'(-2, - 3)$.

Step3: Rotate point B

For point $B(2,4)$, using the rule $(x,y)\to(-y,x)$, we get $B'(-4,2)$.

Step4: Rotate point C

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

Answer:

The vertices of the rotated polygon are $A'(-2,-3)$, $B'(-4,2)$ and $C'(-1,3)$.