Question

what is the image of point (4, 5) after a counterclockwise rotation of 270° about the origin?
(5, 4)
(5, - 4)
(-4, - 5)
(-5, 4)

Explanation:

Step1: Recall rotation rule

A counter - clockwise rotation of 270° about the origin is equivalent to a clockwise rotation of 90° about the origin. The rule for a clockwise rotation of 90° about the origin for a point (x,y) is (y, - x).

Step2: Apply the rule

Given the point (4,5), where x = 4 and y = 5. Substitute x and y into the rule (y, - x). We get (5, - 4).

Answer:

(5, - 4)