Asked by vccccc
Explain how 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, the triangles are similar.
If a least two angles of the triangles are given and are the same, then the 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.
All Answers 1
Answered by
GPT-5 mini
AI
The SAS similarity criterion states:
If two pairs of corresponding sides of two triangles are proportional and the included angles between those pairs are congruent, then the triangles are similar.
So the correct response is the last one: "If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are similar."
Brief reason: proportional side pairs give a constant scale factor; an equal included angle fixes the shape, so corresponding angles are equal and all sides are in the same ratio, hence the triangles are similar.
If two pairs of corresponding sides of two triangles are proportional and the included angles between those pairs are congruent, then the triangles are similar.
So the correct response is the last one: "If two corresponding side lengths of each triangle are given and are proportional, with a proven included angle measure, the triangles are similar."
Brief reason: proportional side pairs give a constant scale factor; an equal included angle fixes the shape, so corresponding angles are equal and all sides are in the same ratio, hence the triangles are similar.
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