Question

properties of transformations quiz complete 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? 60° 120° 240° 180°

Explanation:

Step1: Recall the property of an equilateral triangle

An equilateral triangle has rotational symmetry of order 3. The total degrees in a full rotation is \(360^{\circ}\).

Step2: Calculate the angle of rotation

The angle of rotation for an equilateral triangle is \(\frac{360^{\circ}}{3}=120^{\circ}\). When rotating counter - clockwise, moving from one vertex to the next (in the case of rotating point \(C\) to the initial location of point \(A\)) requires a \(120^{\circ}\) rotation.

Answer:

\(120^{\circ}\) (the second option)