Answer:
The figure is rotating clockwise
Step-by-step explanation:
Let us revise the cases of rotation
1. Rotation with positive direction (anti-clockwise)
- If the point (x, y) rotated about the origin by angle 90° anti-clockwise
∴ Its image is (-y, x)
- If the point (x, y) rotated about the origin by angle 180° anti-clockwise
∴ Its image is (-x, -y)
- If the point (x, y) rotated about the origin by angle 270° anti-clockwise
∴ Its image is (y, -x)
2. Rotation with negative direction (clockwise)
- If the point (x, y) rotated about the origin by angle 90° clockwise (-90°)
∴ Its image is (y, -x)
- If the point (x, y) rotated about the origin by angle 180° clockwise (-180°)
∴ Its image is (-x, -y)
- If the point (x, y) rotated about the origin by angle 270° clockwise (-270°)
∴ Its image is (-y, x)
From the given
∵ The figure is rotating around the origin by d degrees
∵ d < 0, which means d is negative
→ According to rule 2 above
∴ The direction of rotation is clockwise
∴ The figure is rotating clockwise
