Question
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.
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.
Answers
GPT-4o mini
The SAS (Side-Angle-Side) criterion states that if two triangles have two pairs of sides that are proportional and the included angle between those sides is equal, then the triangles are similar. This means that the corresponding angles of both triangles will also be equal, and the sides will be in the same ratio, establishing a consistent scale factor.
To summarize, the correct explanation of the SAS criterion for proving triangle similarity is:
**If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are similar.**
To summarize, the correct explanation of the SAS criterion for proving triangle similarity is:
**If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are similar.**