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24 pointsWhich is the smallest rotation angle that will map an equilateral triangle onto itself? Check all that apply.

24 pointsWhich is the smallest rotation angle that will map an equilateral triangle-example-1
User Chris Kline
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1 Answer

21 votes
21 votes

The internal angles of an equilateral triangle are 60°.

If we rotate this triangle from its center by any angle multiple of 60°, the vertices will always be located at the same position of other vertices were before.

So the smallest rotation angle that will map the equilateral triangle onto itself is 60°

If we rotate only 30°, the triangle would be like this:

So the answer is the third option

24 pointsWhich is the smallest rotation angle that will map an equilateral triangle-example-1
User Warren Burton
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3.0k points