Question

give the coordinates of the image. r_(90°,o)(△def) for d(0,5), e(-2,8), f(-3,-5)
d(-5,0) (type an ordered pair.)
e(-8,-2) (type an ordered pair.)
f (type an ordered pair.)

Explanation:

Step1: Recall rotation rule

The rule for rotating a point $(x,y)$ 90 - degrees counter - clockwise about the origin $(0,0)$ is $(x,y)\to(-y,x)$.

Step2: Apply rule to point F

For point $F(-3,-5)$, when we apply the rotation rule: $x=-3$ and $y = - 5$. Then $-y=-(-5) = 5$ and $x=-3$. So the new coordinates are $(5,-3)$.

Answer:

$(5,-3)$