Question

the point q (-5, -9) is rotated to become -270°. describe the rotation by degree and direction. (1 point)
q (9, -5)
q (5, 9)
q (9, 5)
q (-5, 9)

Explanation:

Step1: Analyze the rotation angle

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

Step2: Apply the rotation rule

Given the point Q(-5, -9), where x = - 5 and y=-9. Substitute into the rule: -y=-(-9) = 9 and x=-5. So the new point Q' is (9, - 5).

Answer:

Q' (9, -5)