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borishaifa [10]
3 years ago
14

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

ph below.
Which rotation could have taken place?

a 90° rotation

a 135° rotation

a 225° rotation

a 315° rotation

Mathematics
2 answers:
Kisachek [45]3 years ago
7 0

Answer:

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

dolphi86 [110]3 years ago
5 0

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

45^{\circ}+90^{\circ}+90^{\circ}=225^{\circ}

Therefore the correct option is 3.

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