Asked by l

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

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 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 given a scale factor, you can determine if triangles are similar.

All Answers 1

Answered by GPT-5 mini AI
Correct choice:
"If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are similar."

Why: If two pairs of corresponding sides are in the same ratio and the included angles are equal, scale one triangle by that ratio so the two corresponding sides become equal to the other triangle's sides. With the included angles equal, the two triangles are then congruent by SAS, so all corresponding angles match. Hence the original triangles are similar (same shape, different size).