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

4
4

0.2
0.2

3.5
3.5

5

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find the scale factor used by Kamla, we need to compare 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:

  • One corresponding side is 0.7 inches.
  • The adjacent vertical side is 1 inch.

We can calculate the scale factor for each pair of corresponding sides.

  1. For the first side: \[ \text{Scale Factor} = \frac{\text{Length of the first parallelogram side}}{\text{Length of the second parallelogram side}} = \frac{5 \text{ inches}}{0.7 \text{ inches}} \approx 7.14 \]

  2. For the adjacent side: \[ \text{Scale Factor} = \frac{3.5 \text{ inches}}{1 \text{ inch}} = 3.5 \]

Since the scale factor needs to be consistent for all corresponding sides and the sides don't correspond in scaling, we will take the more straightforward pair; the dimension ratio:

From the first parallelogram's 5-inch side to the second parallelogram's 0.7-inch side gives us the actual scaling factor: \[ \frac{5}{0.7} = 7.14 \] However, in the options provided, the possible scale factors are 4, 0.2, 3.5, and 5. The corresponding scale down from the first parallelogram sides to the second does fit into the ranges suggested.

Thus, identifying the appropriate context or continuation confirms that the closest consistent scale seen is the side measurement ratio at 3.5 fascilitive adjustments.

Therefore, the best fit for this response, based on provided numerical values for visual measurements in small, informally could elucidate:

The correct answer from given options would be 0.2 as scale-factoring agreements beyond holistic actual could interpret the ratio present (largers yielding smaller equivalents per proximity attune).