Subjects geometry

270 Degree Rotation 4Dc41D

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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.