Describe a transformation that has the same effect as rotating a shape of 90 degrees clockwise around the origin, then reflecting the result over the y-axis please.

Question

describe a transformation that has the same effect as rotating a shape of 90 degrees clockwise around the origin, then reflecting the result over the y-axis.

Answer 1

When rotating a shape 90 degrees clockwise, (x, y) > (y, -x).

When reflecting the image over the y-axis, (x, y) > (-x, y).

Performing those two transformations would be equivalent to reflecting a shape over the y = -x line, where

(x, y) > (-y, -x).

For example: (2,1) > (1, -2) > (-1, -2) after is is rotated 90 degrees cw and reflected over the y-axis.

(2, 1) > (-1, -2) after it is reflected across the y = -x line.