Figures are mathematically similar…

True or false:

Any two rectangles are similar. FALSE! For two figures to be similar all corresponding angles have to be congruent and the shapes have to share a scale factor.

Any two equilateral triangles are similar. True! For triangles to be similar it needs to have the same angles and a scale factor. The angles will always be the same. An equilateral triangle means all sides are the same length. If all sides are the same length that means that any other equilateral triangle will share a scale factor.