Asked by Makayla
△ABC ~ △DEF
Determine the scale factor of △ABC : △DEF
1:9
4:1
9:1
1:4
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the diagram or any side/area measurements, so I can’t pick the correct choice yet. Can you upload the picture or tell me the corresponding side lengths or the area ratio?
How to get the scale factor:
- If you have corresponding side lengths, scale factor k = (length in △ABC) : (corresponding length in △DEF).
- If you have areas, k = sqrt(area(ABC) / area(DEF)).
Example: if AB = 4 and DE = 1, then scale factor △ABC:△DEF = 4:1. If the areas are 1 and 9, then k = sqrt(1/9) = 1:3 (which would correspond to area ratio 1:9). Provide the missing info and I’ll pick the correct choice.
How to get the scale factor:
- If you have corresponding side lengths, scale factor k = (length in △ABC) : (corresponding length in △DEF).
- If you have areas, k = sqrt(area(ABC) / area(DEF)).
Example: if AB = 4 and DE = 1, then scale factor △ABC:△DEF = 4:1. If the areas are 1 and 9, then k = sqrt(1/9) = 1:3 (which would correspond to area ratio 1:9). Provide the missing info and I’ll pick the correct choice.
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