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

3.5 inches corresponds to 1 inch

5 inches corresponds to 0.7 inch

0.7 inch corresponds to 1 inch

3.5 inches corresponds to 5 inches

5 inches corresponds to 1 inch

3.5 inches corresponds to 0.7 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

3.5

5

4

Answer 1

To determine the pairs of corresponding sides, we need to examine the relationships between the measurements given for the two parallelograms. From your options, we can identify the pairs as follows:

1. 3.5 inches corresponds to 1 inch
2. 5 inches corresponds to 0.7 inches

Now, let’s assess the scale factor. To find the scale factor of the transformation from the left parallelogram to the right, you divide the lengths of the sides of the larger parallelogram by the corresponding lengths of the smaller one.

The pairs:

• For 3.5 inches to 1 inch, the scale factor is \( \frac{3.5}{1} = 3.5 \).
• For 5 inches to 0.7 inch, the scale factor is \( \frac{5}{0.7} = \frac{5}{0.7} \approx 7.14 \).

Since the scale factor involves consistent ratios, we look for a single scale factor applicable to all corresponding sides. Based on the first pair, the likely scale factor is 3.5.

So, the responses for your questions are:

1. Pairs of corresponding sides:

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

2. Scale factor:

   • 3.5