To determine the corresponding sides of the two parallelograms and the scale factor used, we would generally need specific dimensions provided for both parallelograms. However, based on the typical relationships described in your provided responses, we can interpret the pairs of corresponding sides.
Assuming the first parallelogram has larger dimensions compared to the second one due to a scaling down, you should look for pairs where the larger measurements correspond to the smaller ones and the ratio reflects a scaling down.
Based on the responses you provided:
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Pairs of Corresponding Sides:
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5 inches corresponds to 1 inch: This indicates a reduction and can be a pair of corresponding sides.
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3.5 inches corresponds to 0.7 inch: This also indicates a reduction, as 3.5 is larger than 0.7, so this is another valid pair of corresponding sides.
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This means that one possible correct selection could be:
- 5 inches corresponds to 1 inch
- 3.5 inches corresponds to 0.7 inch
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Scale Factor: To find the scale factor, you would divide the side length of the original parallelogram by the corresponding side length of the scaled-down parallelogram. For example:
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For the first pair: \( \text{Scale Factor} = \frac{5 \text{ inches}}{1 \text{ inch}} = 5 \)
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For the second pair: \( \text{Scale Factor} = \frac{3.5 \text{ inches}}{0.7 \text{ inches}} = 5 \)
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Given the options you provided, the correct scale factor is \( 5 \).
Conclusion:
- Corresponding pairs of sides: 5 inches corresponds to 1 inch and 3.5 inches corresponds to 0.7 inch.
- Scale factor used: \( 5 \)