Figures are mathematically similar when the corresponding sides of a rectangle can be related by a scale factor or have congruent angles for a triangle. They are also similar when they can be simplified into the same ratio.

TRUE or FALSE

• Any two rectangles are similar. False: For two rectangles to be similar they must have a scale factor for the side lengths to match up. Or they must have to both simplify to the same ratio.These two rectangles have a scale factor of 1.5 for them to be similar
•  Any two equilateral triangles are similar. True: This is true because even if they are a different size, all of their angles are congruent. For a triangle to be similar they must have congruent angles to each other.
  

  These are both equilateral triangles, and they are similar