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Two equilateral triangles are always similar!
Two equilateral triangles.
Sort of depends on how the two triangles are beforehand. One nice way to make four equilateral triangles from six matchsticks is to make a tetrahedron (a triangular pyramid).
Some triangles are equilateral, but not all of them. There are three types of triangles. Triangles which have three equal sides and three equal angles are called equilateral triangles. Isosceles triangles have two equal sides and two equal angles. Scalene triangles have no equal sides and no equal angles.
There is more than one way to join two triangles. It would be possile to assemble a parallelogram out of two congruent equilateral triangles.