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.

Question

(2 points)
Responses

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

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

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

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

Answer 1

To determine the corresponding sides, we need to compare the measurements of the original parallelogram to the scaled one. Based on the information given, the pairs of corresponding sides can be identified as follows:

1. 5 inches corresponds to 1 inch - This indicates that the length of 5 inches in the original is scaled down to 1 inch in the new parallelogram.
2. 3.5 inches corresponds to 0.7 inch - This indicates that the length of 3.5 inches in the original is scaled down to 0.7 inches in the new parallelogram.

From the options given, the confirmed corresponding sides are:

• 5 inches corresponds to 1 inch
• 3.5 inches corresponds to 0.7 inch

Question 2: Scale Factor

To find the scale factor, we can divide the length of a side in the original parallelogram by the length of the corresponding side in the new parallelogram.

Using the pairs:

• From 5 inches to 1 inch: The scale factor is \( \frac{1}{5} = 0.2 \)
• From 3.5 inches to 0.7 inches: The scale factor is \( \frac{0.7}{3.5} = \frac{1}{5} = 0.2 \)

Thus, the scale factor used is 0.2.

Summary of Answers:

1. Corresponding pairs of sides:

   • 5 inches corresponds to 1 inch
   • 3.5 inches corresponds to 0.7 inch

2. Scale factor is 0.2.