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8-32.

Which of the triangles below are similar to at right? How do you know? Explain.  

This is a triangle L, M, N, with 3 equal side lengths of 2.

  1. A triangle with three equal interior angles of 60 degrees.

  1. A triangle with 3 equal side lengths of a.

  1. A triangle with three equal side lengths of 2.

  1. A triangle with three equal side lengths of 5.

Notice that is an equilateral triangle. That means all sides and angles are equal in measure.

Triangles (a), (b), (c), and (d) are all similar because they are all equilateral triangles.
All three sides are proportional ((b), (c), and (d)) and sets of angles are equal in triangle (a).