Question

Triangle CAT is equilateral and centered at the origin. How many degrees will it need to be rotated counterclockwise about the origin to take point C to the initial location of point A?

Answer 1

Answer:

-120 degrees.

Step-by-step explanation:

This triangle has a rotational symmetry of 3  (it repeats its  orientation 3 times as it makes a complete circle around the center),  so the angle of rotation is 360 / 3 = 120 degrees.

As the rotation is counter clockwise  strictly speaking the answer is -120 degrees.