Is Figure A’B’C’D a reflection of figure ABCD ? A: yes it is a reflection over the x-axis. B: yes it is a reflection over the y-axis. C: yes it is a reflection over line f. D: no it is not a reflection

C- Yes; it's a reflection over the line f.

Step-by-step explanation:

(only read if you're unsure)

if you count the distance from D to the line f, it's 1, same for when you count how far away D' is from the line f. same for C,B,A and C',B',A'. why does this matter? because it shows that they're both the same from the line, and if they're the same, it's because it's a reflection.

Process of elimination: Not A because we're reflecting across the line f (the diagonal line), not the x axis and this applies the same with the y axis (B). and finally, it's not D because as we've already proved, it IS a reflection.