CPM Homework Help : INT2 Problem 8-32

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

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

Hint:

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

Answer:

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 $2$ sets of angles are equal in triangle (a).