Question

examine the image below. if △xyz is reflected across the y - axis then rotate 90°, what are the coordinates of z? (2,2) (-2,2) (2,-2) (-2,-2)

Explanation:

Step1: Find coordinates of Z

From the graph, the coordinates of point Z are (-2, - 2).

Step2: Reflect across y - axis

The rule for reflecting a point (x,y) across the y - axis is (-x,y). For point Z(-2,-2), after reflection across the y - axis, the new coordinates Z' are (2,-2).

Step3: Rotate 90° counter - clockwise

The rule for rotating a point (x,y) 90° counter - clockwise about the origin is (-y,x). For point Z'(2,-2), after rotation, the new coordinates Z'' are (2,2).

Answer:

(2, 2)