Subjects geometry

Rotation Point

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1. **State the problem:** We have a line segment EF with points E(6, -4) and F(8, 3). We want to find the coordinates of point F' after rotating point F 90° clockwise about the origin. 2. **Formula for 90° clockwise rotation:** When a point $(x, y)$ is rotated 90° clockwise about the origin, its new coordinates become $(y, -x)$. 3. **Apply the formula:** For point F(8, 3), the rotated point F' will be: $$F' = (y, -x) = (3, -8)$$ 4. **Interpretation:** The point F(8, 3) after a 90° clockwise rotation about the origin moves to F'(3, -8). **Final answer:** $$F' = (3, -8)$$