A point alone is just a dot

Two points connected make a line, 

Add another point in the same plane .

Then connect each dot.

A triangle takes shape.

Depending on the angle the triangle is named,

Obtuse,isosceles,scalene are all triangles.

But if all the lines are of equal lenght\

The three angles measure 60 degrees each,

Then the triangle becomes an equalateral triangle.

No matter how you rotate it, all faces are equal.