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

For a point \((x, y)\) rotated \(90^\circ\) counterclockwise about the origin, the new coordinates \((x', y')\) are given by \((-y, x)\).

Step2: Apply the rule to \(P(5, 3)\)

Here, \(x = 5\) and \(y = 3\). Substituting into the rule, we get \(x'=-y=-3\) and \(y' = x = 5\). So the coordinates of \(P'\) are \((-3, 5)\).

Answer:

\((-3, 5)\)