Geometry

Question Analysis:
This question involves comparing the positions of corresponding vertices.
The main focus is on whether all points have moved the same distance and direction.

Key Concept Explanation:
A translation shifts all points by the same horizontal and vertical distance, preserving size, shape, and orientation.

Step-by-Step Solution:
Check the movement from black to red points:
A(1, 2) → A ′(4, 5): +3 in x, +3 in y
B(2, 4) → B ′(5, 7): +3 in x, +3 in y
C(3, 1) → C ′(6, 4): +3 in x, +3 in y
Each point moves by the vector [3, 3], confirming a translation.

Option Analysis:
A. Correct – consistent movement of all points.
B. Incorrect – reflection would flip coordinates, not shift them.