Question

which point names the location of the image of p(2, 5) after a counterclockwise rotation of 90⁰ about the origin? a) (-2, -5) b) (5, -2) c) (-5, 2) d) (-5, -2)

Explanation:

Step1: Recall rotation rule

For a counterclockwise rotation of \(90^\circ\) about the origin, the rule is \((x, y) \to (-y, x)\).

Step2: Apply the rule to \(P(2, 5)\)

Substitute \(x = 2\) and \(y = 5\) into the rule. So, \(x\)-coordinate becomes \(-y=-5\) and \(y\)-coordinate becomes \(x = 2\). The image point is \((-5, 2)\).

Answer:

C) \((-5, 2)\)