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

Question

Responses

If at least two angles of the triangles are given and are the same, then the triangles are similar.
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 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 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.

Answer 1

The correct response related to the SAS (Side-Angle-Side) criterion for proving similarity in triangles 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 criterion states that if you have two triangles, and you can show that two pairs of corresponding sides are in proportion and the included angle between those sides is congruent, then the triangles are similar.