Question

triangle xyz has vertices x(1, 3), y(0, 0), and z(-1, 2). the image of triangle xyz after a rotation has vertices x(-3, 1), y(0, 0), and z(-2, -1). which rule describes the transformation? r₀, 180° r₀, 360° r₀, 270° r₀, 90°

Explanation:

Step1: Recall 90° counterclockwise rotation rule

Rotation rule: $(x,y) \to (-y,x)$

Step2: Test with point X(1,3)

Apply rule: $(1,3) \to (-3,1) = X'(-3,1)$

Step3: Test with point Z(-1,2)

Apply rule: $(-1,2) \to (-2,-1) = Z'(-2,-1)$

Step4: Verify Y(0,0)

Origin stays: $(0,0) \to (0,0) = Y'(0,0)$

Answer:

R₀,90°