Question

triangle jkl is transformed using the rule ( r_{o, 90^circ} circ r_{y=-x} ). point k of the pre-image is at (4, 7). what are the coordinates of point k on the final image? options: (4, 7), (-4, -7), (4, -7), (-7, -4)

Explanation:

Step1: Rotate K(4,7) 90° clockwise about origin

Rule: (x,y)→(y,-x). K'=(7,-4)

Step2: Reflect K'(7,-4) over y=-x

Rule: (x,y)→(-y,-x). K''=(-(-4),-7)=(4,-7)

Answer:

(4, -7)