Question

question 7 of 39
what is the minimum number of degrees that an equilateral triangle can be
rotated before it carries onto itself?
a. 60°
b. 120°
c. 90°
d. 180°

Explanation:

Step1: Recall the formula for rotational symmetry

The formula for the minimum degree of rotation \(r\) for a regular polygon with \(n\) sides is \(r=\frac{360^{\circ}}{n}\).

Step2: Identify \(n\) for an equilateral triangle

An equilateral triangle has \(n = 3\) sides.

Step3: Calculate the rotation degree

Substitute \(n=3\) into the formula: \(r=\frac{360^{\circ}}{3}=120^{\circ}\).

Answer:

B. \(120^{\circ}\)