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

5
5

4
4

3.5

1 answer

To determine the scale factor that Kamla uses to create the second parallelogram from the first, we need to compare the corresponding side lengths of the two parallelograms.

Assuming we know the side lengths of the first parallelogram (let's say \( a \) and \( b \)) and the corresponding side lengths of the second parallelogram (let's say \( a' \) and \( b' \)), the scale factor \( k \) can be calculated using the formula:

\[ k = \frac{\text{length in the second parallelogram}}{\text{length in the first parallelogram}} \]

For example:

  1. If the length of the side in the first parallelogram is 2 inches and in the second it is 10 inches, the scale factor would be: \[ k = \frac{10}{2} = 5 \]

  2. If the lengths were 4 inches and 0.8 inches, then: \[ k = \frac{0.8}{4} = 0.2 \]

Since we cannot see the drawings or specific measurements, you would check the corresponding side lengths for both parallelograms and apply the above calculation. Please input the actual lengths so that a specific scale factor can be determined.

Based on the options provided:

  • 0.2
  • 5
  • 4
  • 3.5

If you provide the side lengths, we can calculate which of these values represents the correct scale factor.