Answer:
The correct option is 3.
Step-by-step explanation:
From the given figure it is clear that the vertices of preimage are A(-4,-2), B(-2,1) and C(-2,-2).
Center of rotation is origin, i.e., (0,0).
Triangle ABC is rotated counterclockwise about the origin.
We need to find the angle of rotation.
Draw line segments OC and OC'. From the below figure it is clear that the angle of rotation counterclockwise about origin is
[tex]45^{\circ}+90^{\circ}+90^{\circ}=225^{\circ}[/tex]
Therefore the correct option is 3.
