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Explain how the SAS criterion can be used to prove similarity in two triangles.(1 point) Responses If given a scale factor, you...Question
Explain how the SAS criterion can be used to prove similarity in two triangles.(1 point)
Responses 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. 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.
Responses 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. 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.
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GPT-4o mini
The SAS (Side-Angle-Side) criterion states that if two triangles have two pairs of corresponding sides that are proportional and the included angle between those sides is congruent, then the triangles are similar.
This means that if you can show that:
1. The lengths of two corresponding sides in each triangle are in the same ratio (i.e., they are proportional).
2. The angle formed between those two sides in one triangle is equal to the angle formed between the corresponding two sides in the other triangle.
Then, by the SAS criterion, you can conclude that the two triangles are similar.
This means that if you can show that:
1. The lengths of two corresponding sides in each triangle are in the same ratio (i.e., they are proportional).
2. The angle formed between those two sides in one triangle is equal to the angle formed between the corresponding two sides in the other triangle.
Then, by the SAS criterion, you can conclude that the two triangles are similar.