1. **State the problem:** We need to find the coordinates of the vertices of rectangle URTS after a 90° counterclockwise rotation around the origin. 2. **Formula for 90° counterclockwise rotation:** $$ (x,y) \to (-y,x) $$ This means each point's new x-coordinate is the negative of the original y, and the new y-coordinate is the original x. 3. **Apply the formula to each vertex:** - For U(3,8): $$ (3,8) \to (-8,3) $$ - For R(3,4): $$ (3,4) \to (-4,3) $$ - For T(10,8): $$ (10,8) \to (-8,10) $$ - For S(10,4): $$ (10,4) \to (-4,10) $$ 4. **Final coordinates after rotation:** - U' = (-8,3) - R' = (-4,3) - T' = (-8,10) - S' = (-4,10)