Question

If P = (5, 4), Find:
r90° (P)

Answer 1

r90° (P) = (4, -5).

Explanation:

The point P is (5, 4). To find the image of P after rotating it 90° counterclockwise, we use the transformation matrix for a 90° counterclockwise rotation:

[[0, -1], [1, 0]]

The coordinates of the image of P after rotating 90° counterclockwise are given by:

[[0, -1], [1, 0]] * [5, 4] = [4, -5]

So, r90° (P) = (4, -5).