Question: Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about point Q. Determine the angles of rotation. Choose 2 answers: A 90° clockwise B 90° counterclockwise C 180° clockwise D 180° counterclockwise E 270° clockwise F 270° counterclockwise The graph shows quadrilateral ABCD on the right and its rotated image A'B'C'D' on the left, with center of rotation at point Q near the lower middle-left; the figure indicates a 90° counterclockwise rotation, which is also equivalent to a 270° clockwise rotation.

1. **State the problem:** We have quadrilateral ABCD rotated about point Q to form A'B'C'D'. We need to determine the angles of rotation that map ABCD to A'B'C'D'. 2. **Recall rotation rules:** - A rotation of $90^\circ$ counterclockwise about a point moves each point $90^\circ$ around that point in the positive (counterclockwise) direction. - A rotation of $270^\circ$ clockwise is equivalent to a $90^\circ$ counterclockwise rotation because $270^\circ$ clockwise $= 360^\circ - 90^\circ$. 3. **Analyze the given information:** The problem states the image is obtained by a $90^\circ$ counterclockwise rotation about point Q. 4. **Conclusion:** The two correct angles of rotation that produce the image are: - $90^\circ$ counterclockwise - $270^\circ$ clockwise These are equivalent rotations producing the same image. **Final answer:** B and E.