Question

Rotate these ordered pairs around the origin

90° Counter clockwise.
(2,3)
(-4,7)
(5,-4)
(-8,-6)

Answer 1

After rotating the ordered pairs 90° counterclockwise around the origin, they will become:

(3, -2)

(-7, -4)

(-4, 5)

(-6, 8)

To rotate a point 90° counterclockwise around the origin, you can use the following transformation matrix:

[[0, -1],

[1, 0]]

To rotate a point (x, y) by 90° counterclockwise, you can multiply the transformation matrix by the point, which will give you the new coordinates of the point after the rotation. For example, to rotate the point (2, 3) 90° counterclockwise, you can multiply the transformation matrix by the point:

[[0, -1],

[1, 0]] * [2, 3] = [3, -2]

Similarly, you can rotate the other points 90° counterclockwise using the same transformation matrix.