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What is the minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself?A.60B.120C.180D.90

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Solution

The minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself is 120 degrees. So, the correct answer is B.120.

Here's why:

An equilateral triangle has three equal sides and three equal angles, each measuring 60 degrees. If you rotate an equilateral triangle by 120 degrees, each vertex (corner) of the triangle will land on the next vertex. Therefore, the triangle will look exactly the same as it did before the rotation. This is known as rotational symmetry.

If you rotate the triangle by only 60 or 90 degrees, it will not carry onto itself because the vertices will not align. And if you rotate it by 180 degrees, it will carry onto itself, but 180 degrees is not the minimum rotation to achieve this. Therefore, the minimum rotation is 120 degrees.

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