1. **Problem Statement:** We need to find the image of square JKLM after a 90° counterclockwise rotation around the origin.
2. **Vertices of the original square JKLM:**
- J(-8, 2)
- K(-4, 2)
- L(-4, 6)
- M(-8, 6)
3. **Rotation formula for 90° counterclockwise around the origin:**
$$ (x, y) \to (-y, x) $$
This means each point's new coordinates are found by swapping the x and y values and changing the sign of the original y-coordinate.
4. **Apply the rotation to each vertex:**
- J(-8, 2) \to J'(-2, -8)
- K(-4, 2) \to K'(-2, -4)
- L(-4, 6) \to L'(-6, -4)
- M(-8, 6) \to M'(-6, -8)
5. **Result:** The image of square JKLM after the rotation has vertices:
- J'(-2, -8)
- K'(-2, -4)
- L'(-6, -4)
- M'(-6, -8)
This completes the rotation and gives the new position of the square on the coordinate plane.
Rotation 90Ccw
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