Explain how the SAS criterion can be used to prove similarity in two triangles.(1 point)

Question

Possible Answers:
If at least two angles of the triangles are given and are the same, then 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. If given a scale factor, you can determine if 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.

Answer 1

The correct answer is: If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are similar.

This is known as the SAS (Side-Angle-Side) criterion for triangle similarity. According to this criterion, if two sides of one triangle are in proportion to two sides of another triangle, and the included angle between those sides is equal in both triangles, then the triangles are similar.