Original sentence: AA: if two triangles have corresponding two pairs of angles with the same measure then they are similar.Formally speaking, the three criteria for similarity are:.However, these two criteria are equivalent, as the congruency of two angles in two triangles implies the congruency of the third angle, since the sum of the measure of the angles in a triangle is 180 degrees.In summary, they state that if triangles have the same shape then they are to scale (AA criterion), and vice versa, that if they are to scale they have the same shape (SSS).Informally speaking this means that in order to copy a triangle in shape and scale, one only needs to copy one angle to scale.SAS: if two sides are taken in a triangle, that are proportional to two corresponding sides in another triangle, and the angle included between these sides have the same measure, then the triangles are similar.SSS: If the ratio of corresponding sides of two triangles does not depend on the sides taken, then the triangles are similar.Several criteria exist to prove that a pair of triangles are similar.Sometimes this criterion is also referred to as AAA.This criterion means that if you copy a triangle that someone drew, preserving the shape, then it was drawn to scale.This means that any triangle copied to scale is also copied in shape
Edited sentence: AA: if two triangles have two corresponding pairs of angles with the same measure then they are similar.In summary, they state that if triangles have the same shape then they are to scale (AA criterion), and that if they are to scale then they have the same shape (SSS).SAS: if two sides are taken in a triangle, that are proportional to two corresponding sides in another triangle, and the angles included between these sides have the same measure, then the triangles are similar.SSS: If the ratio of corresponding sides of two triangles does not depend on the sides chosen, then the triangles are similar.Sometimes this criterion is also referred to as AAA because two angles of equal measure implies equality of the third.The following three criteria are suffiecient to prove that a pair of triangles are similar.This criterion means that if a triangle is copied to preserve the shape, then the copy is "to scale.This means that if any triangle copied to scale is also copied in shape.This means that in order to enlarge a triangle, it is sufficient to copy one angle, and to scale just the two sides that form the angle