Question

if p is at (-3,5) after a 270 counterclockwise rotation about the origin, what is the preimage p? (-3,5) (-5,-3) your answer (5,-3) (-3,-5)

Explanation:

Step1: Recall rotation rule

A 270 - counter - clockwise rotation about the origin has the rule $(x,y)\to(y, - x)$. Let the pre - image be $(x,y)$ and the image be $(x',y')=(-3,5)$.

Step2: Apply the inverse rule

Since $(x',y')=(y, - x)$, we have $y=-3$ and $-x = 5$. Solving for $x$, we get $x=-5$. So the pre - image is $(-5,-3)$.

Answer:

$(-5,-3)$