Question

triangle jkl is transformed using the rule ( r_{0, 90^circ} circ r_{y=-x}(x, y) ). point k of the pre - image is at (4, 7). what are the coordinates of point k on the final image? options: (-7, -4), (4, 7), (-4, -7), (4, -7)

Explanation:

Step1: Rotate K 90° clockwise

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

Step2: Reflect K' over y=-x

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

Answer:

(4,-7)