1. **State the problem:** Identify the transformation that maps points B, C, D forming a "V" shape with vertex at C to points B', C', D' forming an inverted "V" shape with vertex at C', with point A as a reference. 2. **Understand the transformations:** - A 90 degree rotation counterclockwise about point A rotates every point 90 degrees around A in the counterclockwise direction. - A 90 degree rotation clockwise about point A rotates every point 90 degrees around A in the clockwise direction. - A horizontal reflection over point A flips points over a horizontal line through A. - A vertical reflection over point A flips points over a vertical line through A. 3. **Analyze the shape change:** - The original "V" shape becomes an inverted "V" shape. - This suggests a reflection or a rotation that flips the shape upside down. 4. **Check reflections:** - Horizontal reflection over point A would flip the shape vertically, turning "V" into inverted "V". - Vertical reflection would flip it sideways, changing the orientation differently. 5. **Check rotations:** - 90 degree rotations would rotate the shape, changing the orientation but not necessarily flipping the "V" upside down. 6. **Conclusion:** - The transformation is a horizontal reflection over point A. **Final answer:** C Horizontal reflection over point A