1. **State the problem:** We have a rectangle with vertices A(-3, -3), B(1, -3), C(1, -5), and D(-3, -5). We need to find the coordinates of the image after rotating the rectangle 90° clockwise about the origin and then reflecting it in the y-axis. 2. **Rotation formula:** A 90° clockwise rotation about the origin transforms a point $(x,y)$ to $(y,-x)$. 3. **Reflection in the y-axis formula:** Reflecting a point $(x,y)$ in the y-axis transforms it to $(-x,y)$. 4. **Apply the 90° clockwise rotation to each vertex:** - $A(-3,-3) \to A'(y,-x) = (-3,3)$ - $B(1,-3) \to B'(-3,-1)$ - $C(1,-5) \to C'(-5,-1)$ - $D(-3,-5) \to D'(-5,3)$ 5. **Apply reflection in the y-axis to each rotated vertex:** - $A'(-3,3) \to A''(3,3)$ - $B'(-3,-1) \to B''(3,-1)$ - $C'(-5,-1) \to C''(5,-1)$ - $D'(-5,3) \to D''(5,3)$ 6. **Final coordinates of the image:** - $A''(3,3)$ - $B''(3,-1)$ - $C''(5,-1)$ - $D''(5,3)$ These are the coordinates of the rectangle after the two transformations.