1. **State the problem:** We have a pentagon JKLMN with vertices J(-2,-1), K(2,-1), L(3,-3), M(0,-5), and N(-3,-3). We need to find the coordinates of J' after a 90° clockwise rotation about the origin, and the coordinates of N' after a 180° rotation about the origin. 2. **Rotation formulas:** - For a 90° clockwise rotation about the origin, the formula is: $$ (x,y) \to (y, -x) $$ - For a 180° rotation (clockwise or counterclockwise), the formula is: $$ (x,y) \to (-x, -y) $$ 3. **Find J' after 90° clockwise rotation:** Given J(-2,-1), apply the formula: $$ J' = (y, -x) = (-1, -(-2)) = (-1, 2) $$ 4. **Find N' after 180° rotation:** Given N(-3,-3), apply the formula: $$ N' = (-x, -y) = (-(-3), -(-3)) = (3, 3) $$ **Final answers:** - Coordinates of J' after 90° clockwise rotation: $(-1, 2)$ - Coordinates of N' after 180° rotation: $(3, 3)$