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

3.5
3.5

0.2
0.2

4

Answer 1

To find the scale factor used by Kamla, we need to compare the corresponding sides of the two parallelograms.

For the first parallelogram:

• One side is 5 inches.
• The adjacent side is 3.5 inches.

For the second parallelogram:

• The corresponding side to 5 inches is 0.7 inches.
• The corresponding side to 3.5 inches is 1 inch.

Now, let's find the scale factor for both sides:

1. For the side that corresponds to 5 inches: \[ \text{Scale factor} = \frac{\text{Length of new side}}{\text{Length of original side}} = \frac{0.7}{5} = 0.14 \]

2. For the side that corresponds to 3.5 inches: \[ \text{Scale factor} = \frac{1}{3.5} \approx 0.2857 \]

Since both sides should be scaled by the same factor for it to be a valid scale, and both calculations do not yield the same scale factor, we can state that the parallelogram on the right is not a direct scale of the first parallelogram in this context. However, this presents an issue.

If we are looking at the options provided in your question, none of the listed scale factors correspond to the measurements provided. The closest accurate measurement would need to be clarified or checked, as both computed scale factors depend on the relation of original and new configurations.

Given this, please check the problem statement again for any possible misinterpretation or clarifications about what is being equated in both figures, or if a specific value to choose is required. Based on the scale factors calculated and considering standard measures, none of the responses (5, 3.5, 0.2, or 4) can be justified as applicable based on the provided measurements.