1. **State the problem:** We have a rectangle WXYZ with vertices W(-8, -4), X(-2, -1), Y(0, -5), and Z(-6, -8). We need to find the coordinates of these points after a 270° counterclockwise rotation about the origin.
2. **Formula for rotation:** A point $(x,y)$ rotated counterclockwise by 270° about the origin transforms to $(y, -x)$.
3. **Apply the rotation to each vertex:**
- For $W(-8, -4)$: new coordinates are $(y, -x) = (-4, 8)$.
- For $X(-2, -1)$: new coordinates are $(-1, 2)$.
- For $Y(0, -5)$: new coordinates are $(-5, 0)$.
- For $Z(-6, -8)$: new coordinates are $(-8, 6)$.
4. **Final answer:**
- $W' = (-4, 8)$
- $X' = (-1, 2)$
- $Y' = (-5, 0)$
- $Z' = (-8, 6)$
These are the coordinates of the rectangle after the 270° counterclockwise rotation about the origin.
270 Degree Rotation 4Dc41D
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