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Equilateral Triangle Rotation Puzzle

Author:Aja Wright, David Wees
triangle' is triangle rotated around point O. Use the slider and change the angle of rotation until triangle' and triangle are in the same position.

Why is this triangle an equilateral triangle? (google the definition if you forgot)

What angles of rotation result in triangle' being in the exact same location as triangle? List all the angles that worked.

What are the interior angles of an equilateral triangle?

What are the exterior angles of an equilateral triangle?

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