Use the equilateral triangle shown to answer the question.

Question

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Question
Choose ,begin emphasis,all,end emphasis, the degrees of rotation that will carry the triangle onto itself.

Answer options with 5 options
A.
60°

B.
90°

C.
120°

D.
180°

E.
240°

Answer 1

To determine the degrees of rotation that will carry an equilateral triangle onto itself, we consider the symmetries of the triangle.

An equilateral triangle has rotational symmetries for the following angles:

1. 60° - rotates to the position of the next vertex.
2. 120° - rotates to the position of the third vertex.
3. 180° - rotates to the opposite side's position.
4. 240° - rotates back to the original position.

So, the angles that will carry the triangle onto itself are:

• A. 60°
• C. 120°
• D. 180°
• E. 240°

Thus, the correct answer options are A, C, D, and E.