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QUESTION IMAGE

point p(5, 3) is rotated 90° counterclockwise around the origin and the…

Question

point p(5, 3) is rotated 90° counterclockwise around the origin and the image is labeled p. which of the following are the coordinates of point p? (1, -3) (-3, -5) (3, -5) (-3, 5)

Explanation:

Step1: Recall rotation rule

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

Step2: Apply the rule

Given point $P(5,3)$, where $x = 5$ and $y=3$. After applying the rule, we get $P'(-3,5)$.

Answer:

$(-3,5)$