Question

triangle abc has vertices a(-2, -3), b(-5, -3), and c(-4, -2). the triangle is rotated 90° counterclockwise around the origin. what is the correct set of image points for triangle abc? a(3, 2), b(3, 5), c(2, 4) a(3, -2), b(3, -5), c(2, -4) a(-3, -2), b(-3, -5), c(-2, -4) a(-3, 2), b(-3, 5), c(-2, 4)

Explanation:

Step1: Recall 90° counterclockwise rotation rule

For a point $(x,y)$, the rotated point is $(-y,x)$.

Step2: Rotate point A(-2,-3)

Substitute $x=-2, y=-3$: $(-(-3), -2) = (3, -2)$

Step3: Rotate point B(-5,-3)

Substitute $x=-5, y=-3$: $(-(-3), -5) = (3, -5)$

Step4: Rotate point C(-4,-2)

Substitute $x=-4, y=-2$: $(-(-2), -4) = (2, -4)$

Answer:

A'(3, -2), B'(3, -5), C'(2, -4)