Mayslee draws the parallelogram on the left and then uses a scale factor to create the parallelogram on the right. Select the pairs of corresponding sides.

(2 points)
Responses

0.7 inch corresponds to 1 inch
0.7 inch corresponds to 1 inch

3.5 inches corresponds to 0.7 inch
3.5 inches corresponds to 0.7 inch

3.5 inches corresponds to 1 inch
3.5 inches corresponds to 1 inch

3.5 inches corresponds to 5 inches
3.5 inches corresponds to 5 inches

5 inches corresponds to 0.7 inch
5 inches corresponds to 0.7 inch

5 inches corresponds to 1 inch
5 inches corresponds to 1 inch
Question 2
Mayslee draws the parallelogram on the left and then uses a scale factor to create the parallelogram on the right. What scale factor does she use?(1 point)
Responses

0.2
0.2

3.5
3.5

5
5

4
4
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1 answer

To determine the pairs of corresponding sides and the scale factor used by Mayslee, we first need to establish the relationship between the dimensions of the original and the scaled parallelograms.

Corresponding Sides:

Given the potential pairs of sides:

  1. 0.7 inch corresponds to 1 inch (This suggests a scale factor of 1.43)
  2. 3.5 inches corresponds to 0.7 inch (This suggests a scale factor of 0.2)
  3. 3.5 inches corresponds to 1 inch (This suggests a scale factor of 3.5)
  4. 3.5 inches corresponds to 5 inches (This suggests a scale factor of 1.43)
  5. 5 inches corresponds to 0.7 inch (This suggests a scale factor of 0.14)
  6. 5 inches corresponds to 1 inch (This suggests a scale factor of 5)

To find the pairs of corresponding sides, we focus on the ones that represent a logical scale transformation. The most reasonable pairs are:

  • 3.5 inches corresponds to 1 inch
  • 5 inches corresponds to 1 inch

Scale Factor:

To determine the scale factor Mayslee used, we need to find the ratio of one dimension of the original parallelogram to the corresponding dimension of the new parallelogram.

Given the options provided:

  • 0.2 (implies smaller)
  • 3.5
  • 5
  • 4

If we assume that the original size is larger and Mayslee scaled down, the only consistent choice based on the side comparisons would be 0.2, assuming she scaled down larger dimensions to create smaller dimensions.

Final Answers:

  1. Corresponding Sides: 3.5 inches corresponds to 1 inch and possibly 5 inches corresponds to 1 inch (depending on the context given).
  2. Scale Factor: 0.2.