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

0.2
0.2

4
4

3.5
3.5

5
5

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To find the scale factor used by Kamla to create the second parallelogram from the first parallelogram, you need to compare the corresponding sides of the two shapes.

  1. First Parallelogram:

    • One parallel side: 5 inches
    • Adjacent side: 3.5 inches
  2. Second Parallelogram:

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

Now, we calculate the scale factor for both sides:

  • For the first parallel side:

    \[ \text{Scale Factor} = \frac{\text{Length of second parallelogram}}{\text{Length of first parallelogram}} = \frac{0.7}{5} = 0.14 \]

  • For the adjacent side:

    \[ \text{Scale Factor} = \frac{1}{3.5} \approx 0.2857 \]

Since the scale factors are not consistent between the two sides, we need to check which of the given responses is consistent or could be a common scale factor.

The scale factor is not directly given in the problem, but if we were to use standard measurements:

Let's approximate those to see which matches our corresponding options:

  1. Approximate repetition with 0.2 for one of the sides is closer to the original length,
  2. The other associations do not equate multiplicatively in a linear scale in this classification either.

However, 0.2 would be the best logical option for general scaling based on the inputs if it represents the repetitive use for the average scaling factor significant throughout transformations.

So, the answer is likely 0.2 based on reasonable scaling comparisons, even if a strict dimensional alignment isn't present.