Question

1. the coordinates of △xyz and its image are shown. describe the transformation. x(0, -3)→x(0, 3) y(-2, -4)→y(-2, 4) z(-1, 2)→z(-1, -2)

Explanation:

Step1: Analyze x - coordinates

The x - coordinates of points X, Y, and Z remain the same in the pre - image and image. For X, it's 0; for Y, it's - 2; for Z, it's - 1.

Step2: Analyze y - coordinates

The y - coordinates of points X and Y change sign (from negative to positive), and for Z, it changes from positive to negative. The rule for a reflection over the x - axis is (x,y)→(x, - y).

Answer:

The transformation is a reflection over the x - axis.