Question

Triangle ABC is rotated counterclockwise using the origin as the center of rotation. The preimage and image are shown in the graph below.

Which rotation could have taken place?

a 90° rotation

a 135° rotation

a 225° rotation

a 315° rotation

Answer 1

im not 100% sure but to me it looks like it could be 225

Answer 2

The correct option is 3.

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

`45^(\circ)+90^(\circ)+90^(\circ)=225^(\circ)`

Therefore the correct option is 3.