Subjects geometry

Rotation 90 Clockwise

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1. **Problem Statement:** We need to find the coordinates of points D, E, and F after a 90° clockwise rotation around the origin. 2. **Rotation Formula:** For a point $(x,y)$, a 90° clockwise rotation around the origin transforms it to $(y, -x)$. 3. **Apply the formula to each point:** - Point D is at $(5,3)$. After rotation: $D' = (3, -5)$. - Point E is at $(9,3)$. After rotation: $E' = (3, -9)$. - Point F is at $(1,8)$. After rotation: $F' = (8, -1)$. 4. **Final coordinates:** - $D' = (3, -5)$ - $E' = (3, -9)$ - $F' = (8, -1)$ These are the new positions of the vertices after the 90° clockwise rotation around the origin.