Question

GEOMETRY QUESTION, HELP PLEASEEE.

Answer 1

Answer:

The pre-image C is (2, 5)

Step-by-step explanation:

• If the point (x, y) rotated about the origin by angle 90° clockwise, then its image is (y, -x)

• If the point (x, y) rotated about the origin by angle 180° clockwise, then its image is (-x, -y)

• If the point (x, y) rotated about the origin by angle 270° clockwise, then its image is (-y, x)

∵ Point C was rotated 270° clockwise around the origin

∵ C' = (-5, 2)

→ By using the 3rd rule above

∵ The image of the point (x, y) is (-y, x)

∴ (-y, x) = (-5, 2)

→ That means -y = -5 and x = 2

∴ x = 2

∴ -y = -5

→ Divide both sides by -1

∴ y = 5

∴ The pre-image C = (2, 5)