To determine the correct pairs of corresponding sides and the scale factor, we need to know the lengths of the sides of the original quadrilateral and the lengths of the sides of the new quadrilateral. Since we do not have the actual measurements, I can provide guidance based on typical approaches to solving this type of problem.
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Identifying Corresponding Sides: The pairs of corresponding sides typically involve checking the relation with a consistent scale factor. If one side of the original quadrilateral is multiplied by a constant factor to obtain the length of the corresponding side in the second quadrilateral, then we have corresponding sides.
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Estimating Scale Factor: The scale factor can be found by taking the ratio of a side from the new quadrilateral to the corresponding side from the original quadrilateral.
For instance, if:
- The original side length is \(4\) and its corresponding side in the new quadrilateral is \(5\), the scale factor would be \(5/4 = 1.25\).
- Similarly, if \(4\) scales to \(7.5\), then the scale factor is \(7.5/4 = 1.875\).
If you have specific side length measurements available from both quadrilaterals, please provide those, and I can assist you further with identifying correct pairs of corresponding sides and calculating the scale factor accurately. Given the options provided:
Question 1 (Paires of Corresponding Sides)
Correct pairs could be:
- 4 units corresponds to 5 units
- 4 units corresponds to 7.5 units
Question 2 (Scale Factor)
- The scale factor used could be 1.25 if the side lengths suggest that the transformation increased the lengths by 25%, or 1.875 if the lengths indicate a factor of 1.875.
Please check your original measurements to confirm the answers.