The statement is false because not all the corresponding point have been translated correctly from the original.
Here are the correct answers:
C: (-3, 1) to (0,5). CORRECT! D: (1,5) to (4, 9) INCORRECT IN THE CHOICE E: (5, 1) to (8, 5) INCORRECT IN THE CHOICE F: (1, -3) to (4, 1) INCORRECT IN THE CHOICE