Subjects geometry

Rotation 90Ccw D70250

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1. **State the problem:** We need to find the coordinates of the vertices of triangle FGH after a 90° counterclockwise rotation around the origin. 2. **Recall the rotation formula:** For a point $(x,y)$, a 90° counterclockwise rotation about the origin transforms it to $(-y, x)$. 3. **Apply the formula to each vertex:** - For $F(-8, 10)$, the new coordinates are $(-10, -8)$. - For $G(-2, 10)$, the new coordinates are $(-10, -2)$. - For $H(-8, 2)$, the new coordinates are $(-2, -8)$. 4. **Final answer:** The vertices after rotation are $F'(-10, -8)$, $G'(-10, -2)$, and $H'(-2, -8)$. This rotation moves each point by swapping the coordinates and changing the sign of the original y-coordinate, effectively rotating the shape 90° counterclockwise around the origin.