Explain how the SAS criterion can be used to prove similarity in two triangles.(1 point)
If at least two angles of the triangles are given and are the same, then the triangles are similar.
If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are similar.
If all three side lengths are given and proportional to one another, resulting in the same scale factor, then the triangles are similar.
If given a scale factor, you can determine if triangles are similar.
The SAS (Side-Angle-Side) criterion states that if two triangles have two pairs of corresponding sides that are proportional and an included angle that is the same, then the triangles are similar.
To use the SAS criterion to prove similarity in two triangles, you need to compare the ratios of corresponding side lengths and the measure of the included angle.
First, compare the ratios of corresponding side lengths. If two pairs of sides of the triangles are proportional, meaning the ratios of their lengths are equal, then you have one part of the SAS criterion fulfilled.
Next, compare the measure of the included angle. If the measure of the included angle between the proportional sides is the same in both triangles, then you have the second part of the SAS criterion fulfilled.
If you have both parts of the SAS criterion fulfilled, then you can conclude that the two triangles are similar.