The correct answer relates to the Side-Angle-Side (SAS) criterion for triangle similarity. The SAS criterion states that if two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, then the triangles are similar. This means that if you can establish that two sides of one triangle are in proportion to two sides of another triangle, and the angle between those two sides is equal in both triangles, then the triangles can be considered similar.
Explain how the SAS criterion can be used to prove similarity in two triangles.(1 point)
Possible Answers:
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 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. 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. If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are similar.
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