Explain how the SAS criterion can be used to prove similarity in two triangles.(1 point)
The SAS criterion can be used to prove similarity in two triangles by showing that two corresponding pairs of sides are proportional and the included angles are congruent.
If two corresponding pairs of sides in two triangles are proportional, that means the lengths of the sides are in the same ratio. This can be shown using ratios or proportions. For example, if the ratio of the lengths of the corresponding sides in triangle 1 to triangle 2 is 2:3, then the two triangles are similar.
Additionally, if the included angles (the angles formed by the two corresponding pairs of sides) are congruent, it means they have the same measure. This can be shown by measuring the angles using a protractor or using angle properties and congruence theorems.
If both conditions are satisfied, meaning both the sides are proportional and the included angles are congruent, then the two triangles are proven to be similar by the SAS criterion.