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)
