Hey there! I'm happy to help!
First, let's see what the coordinates of each of these points are by counting the squares.
Vertex A is at (-3,-4).
Vertex B is at (1,-3).
Vertex C is at (1,1).
Whenever you rotate a figure 180° about the origin, you find the negative version of each number in the ordered pair. Basically (x,y) turns into (-x,-y) when you rotate a figure 180°.
Let's do this below!
A: (-3,-4)⇒(3,4)
B: (1,-3)⇒(-1,3)
C: (1,1)⇒(-1,-1)
These new coordinates match with the third option: A'(3,4), B'(-1,3), C'(-1,-1). Now you can find the coordinates of translated points!
I hope that this helps! Have a wonderful day!