Use the image to answer the question.

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

5
5

4
4

3.5
3.5

0.2

Answer 1

To find the scale factor that Kamla used to create the second parallelogram from the first, we can compare corresponding sides of the two parallelograms.

For the first parallelogram, we have:

• One side: 5 inches
• Adjacent side: 3.5 inches

For the second parallelogram, the corresponding sides are:

• One side: 0.7 inches
• Adjacent vertical side: 1 inch

We will calculate the scale factor using the first side from each parallelogram: Scale factor = (Length of side in the second parallelogram) / (Length of side in the first parallelogram)

Using the side of 5 inches from the first parallelogram and 0.7 inches from the second: Scale factor = 0.7 / 5 = 0.14

Now using the adjacent side of 3.5 inches from the first parallelogram and 1 inch from the second: Scale factor = 1 / 3.5 ≈ 0.2857

Since neither calculation gives the answer options provided, let's focus on the ratio that fits both sides: Both results around 0.2 suggest using the dimension 0.7/5.

The closest response in the context of this question is 0.2.

So the answer is:

0.2