Question

Which of these rotations will map an equilateral triangle to itself?

A. 120 Degrees
B. 45 degrees
C. 60 degrees
D. 90 degrees

Answer 1

To map an equilateral triangle to itself, we need to rotate it by an angle that is a multiple of 60 degrees. The correct multiple-choice option is (c).

Step-by-step explanation:

An equilateral triangle has all sides of equal length and all angles equal to 60 degrees. To map an equilateral triangle to itself, we need to rotate it by an angle that is a multiple of 60 degrees. So, the rotations that will map an equilateral triangle to itself are:

1. 120 Degrees
2. 180 Degrees - This is equivalent to rotating it by 60 degrees two times
3. 240 Degrees - This is equivalent to rotating it by 60 degrees three times
4. 300 Degrees - This is equivalent to rotating it by 60 degrees four times

The correct multiple-choice option is (c).