Question

Use the image to answer the question.

An illustration shows two parallelograms positioned in different ways. One shows the longer side along the base, and the other is tilted upward to the left, with a longer vertical side. The first parallelogram shows one parallel side as 5 inches and the adjacent side as 3.5 inches. The second parallelogram shows one parallel side as 0.7 inches and the adjacent vertical side as 1 inch.

Kamla draws the parallelogram on the left and then uses a scale factor to create the parallelogram on the right. All measurements are in inches. What scale factor does he use?

(1 point)
Responses

3.5
3.5

5
5

4
4

0.2
0.2
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Answer 1

To find the scale factor used by Kamla to transform the first parallelogram into the second, we can compare the lengths of the corresponding sides.

For the first parallelogram:
- One parallel side = 5 inches
- The adjacent side = 3.5 inches

For the second parallelogram:
- One parallel side = 0.7 inches
- The adjacent vertical side = 1 inch

Now, we need to find how the dimensions of the first parallelogram relate to the dimensions of the second.

1. **Calculate the scale factor for the first parallel side:**
\[
\text{Scale factor} = \frac{\text{First parallelogram side}}{\text{Second parallelogram side}} = \frac{5}{0.7} \approx 7.14
\]

2. **Calculate the scale factor for the adjacent side:**
\[
\text{Scale factor} = \frac{\text{First parallelogram side}}{\text{Second parallelogram side}} = \frac{3.5}{1} = 3.5
\]

We see that the scale factor is consistent for the adjacent side, and since the problem states the lengths of the first parallelogram correspond with lengths of the second, the scale factor Kamla uses is 3.5.

Thus, the answer is:

**3.5**