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give the coordinates of the image. r_(90°,o)(△def) for d(0,5), e(-2,8),…

Question

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

For point D$(0,5)$, substituting $x = 0$ and $y = 5$ into the rule $(-y,x)$, we get $(-5,0)$.

Answer:

$(-5,0)$