Question

Which of the following compositions produces the same image as R 0,-180?

Answer 1

The transformation RO - 180° means rotation of - 180°.

That is half-turn clockwise.

When you apply that rotation, the coordinates of a point (x,y) transforms into coordinates (-x,-y).

So, any coomposition that is equivalent to half-turn will produce the same image as RO - 180°.

These are some examples:

1) RO 90° and RO 90° (because 90° + 90° = 180° and that is equivalent to  -180°).

2) RO - 90° and RO - 90° (because - 90° - 90° = - 180°).

3) RO 90° and RO - 270° (becasue 90° - 270° = - 180°).

At the end there are infinite combinations equivalent to Ro - 180°, so, given that you did not include the set of choices, I have provided the explanations and examples which teachs you how to test any combination of rotations.