State True or false:

All equilateral triangles are similar.

We know that in an equilateral triangle:

1. all sides have the same length.
2. each angle has measured 60^o.

The AAA similarity criterion state that if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.

Since every equilateral triangle’s angles are 60^o, every equilateral triangle is similar to one another due to the AAA similarity criterion.

Therefore, all equilateral triangles are similar.