A triangle ABC resting on a horizontal line is "rolled" along
the line. Describe the paths of each of the vertices and the
relationships between them and the original triangle.

Describe what happens if the triangle is not equilateral and
explain the outcomes you see.

Here are two examples for you.

Right Angle Triangle:

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Equilateral Triangle:

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You might also like to look at the related problem

How Far Does it Move?