Question

give the coordinates of the image. r_{(90^{circ},o)}(\triangle def) for d(0,5), e(-2,8), f(-3,-5)
d(-5,0) (type an ordered pair.)
e (type an ordered pair.)

Explanation:

Step1: Recall rotation rule

A $90^{\circ}$ counter - clockwise rotation about the origin $(0,0)$ has the rule $(x,y)\to(-y,x)$.

Step2: Apply rule to point E

For point E with coordinates $(-2,8)$, using the rule $(x,y)\to(-y,x)$, we substitute $x = - 2$ and $y = 8$. Then $x'=-8$ and $y'=-2$.

Answer:

$E'(-8,-2)$