1. The problem asks to describe the changes in shape, size, position, and orientation of triangle ABC when it is reflected to triangle A'B'C'. 2. Reflection is a transformation that flips a figure over a line (axis of reflection). It preserves the shape and size but changes the position and orientation. 3. Given triangle ABC with vertices A(4,6), B(7,2), C(3,2) and its reflection A'B'C' with vertices A'(4,0), B'(7,4), C'(3,4), the reflection is over the horizontal line y=3 (midway between y=6 and y=0 for A and A'). 4. Shape: The triangle remains the same shape because reflection is an isometry. 5. Size: The size remains unchanged because reflection preserves distances. 6. Position: The triangle moves to a new location reflected over the line y=3. 7. Orientation: The orientation is reversed because reflection changes the order of vertices (clockwise to counterclockwise or vice versa). 8. Correspondence of points: A → A'(4,0) B → B'(7,4) C → C'(3,4) 9. Congruency: Triangles ABC and A'B'C' are congruent because reflection is an isometry preserving size and shape. Final answers: (a) Shape: unchanged, Size: unchanged, Position: changed (reflected over y=3), Orientation: reversed. (b) A → (4,0), B → (7,4), C → (3,4) (c) Yes, the triangles are congruent.