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?
options: ( r_{0, 270^circ} ), ( r_{0, 180^circ} ), ( r_{0, 90^circ} ), ( r_{0, 360^circ} )

Explanation:

Step1: List original and image vertices

Original: X(1,3), Y(0,0), Z(-1,2); Image: X'(-3,1), Y'(0,0), Z'(-2,-1)

Step2: Apply 90° rotation rule (x,y)→(-y,x)

X(1,3)→(-3,1)=X'; Y(0,0)→(0,0)=Y'; Z(-1,2)→(-2,-1)=Z'

Answer:

R0, 90°