Question

finally, rotate point e 90° counterclockwise using the origin, (0, 0), as the center of rotation. we’ll call the image of this rotation point f.
original point image
c (8,2) d (8,-2)
d (8,-2) e (-8,-2)
e (-8,-2) f

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point E

For point E with coordinates $(-8,-2)$, substitute $x=-8$ and $y = - 2$ into the rule. We get $(-(-2),-8)=(2,-8)$.

Answer:

$(2,-8)$