Question

If P = (-1,-1), find the image

Answer 1

Answer:     (-1, 1)

=========================================================

Explanation:

The rotation rule we use is $(x,y) \to (y, -x)$

The x and y coordinates step places, then the second coordinate (after the swap) changes in sign from positive to negative, or vice versa.

For example, the point (5,7) rotates to (7, -5). As another example, (2,-1) becomes (-1, -2). As another example, (-9,4) becomes (4,9).

----------------------------------

In our case, the point (-1,-1) will rotate to (-1, 1)

Note: A 270 degree counterclockwise rotation about the origin is the same as a 90 degree clockwise rotation about the origin. Refer to the diagram below.