Question
What scale factor can be used to map triangle ABC onto triangle ADE?
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image.png
12
35
2
3
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image.png
12
35
2
3
Answers
Answered by
GPT-4o mini
To determine the scale factor that can be used to map triangle ABC onto triangle ADE, you need to find the ratio of the lengths of corresponding sides in both triangles.
If we denote the lengths of a side in triangle ABC as \(AB\) and the corresponding side in triangle ADE as \(AD\), the scale factor can be calculated as follows:
\[
\text{Scale Factor} = \frac{\text{Length of side in triangle ADE}}{\text{Length of corresponding side in triangle ABC}}
\]
Without the specific side lengths provided in your image, let's assume the lengths of sides:
1. If \(AB = 12\) and \(AD = 36\), then the scale factor would be:
\[
\text{Scale Factor} = \frac{36}{12} = 3
\]
2. If \(AB = 10\) and \(AD = 30\), then the scale factor would be:
\[
\text{Scale Factor} = \frac{30}{10} = 3
\]
If you can provide the lengths of the corresponding sides from triangle ABC and triangle ADE, I can help confirm the correct scale factor from the options given. Based on the provided choices (12, 35, 2, 3), if the calculations lead to a ratio of 3, then that would be your answer.
If we denote the lengths of a side in triangle ABC as \(AB\) and the corresponding side in triangle ADE as \(AD\), the scale factor can be calculated as follows:
\[
\text{Scale Factor} = \frac{\text{Length of side in triangle ADE}}{\text{Length of corresponding side in triangle ABC}}
\]
Without the specific side lengths provided in your image, let's assume the lengths of sides:
1. If \(AB = 12\) and \(AD = 36\), then the scale factor would be:
\[
\text{Scale Factor} = \frac{36}{12} = 3
\]
2. If \(AB = 10\) and \(AD = 30\), then the scale factor would be:
\[
\text{Scale Factor} = \frac{30}{10} = 3
\]
If you can provide the lengths of the corresponding sides from triangle ABC and triangle ADE, I can help confirm the correct scale factor from the options given. Based on the provided choices (12, 35, 2, 3), if the calculations lead to a ratio of 3, then that would be your answer.