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

0.2
0.2

4
4

5
5

3.5

Answer 1

To find the scale factor Kamla used to create the second parallelogram from the first, we can compare the corresponding side lengths of both parallelograms.

For the first parallelogram:

• One parallel side = 5 inches
• Adjacent side = 3.5 inches

For the second parallelogram:

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

We need to determine the scale factor by dividing the lengths of the sides of the first parallelogram by the lengths of the corresponding sides in the second parallelogram.

1. For the parallel sides: \[ \text{Scale factor} = \frac{\text{Length of first parallelogram}}{\text{Length of second parallelogram}} = \frac{5}{0.7} \approx 7.14 \]

2. For the adjacent sides: \[ \text{Scale factor} = \frac{3.5}{1} = 3.5 \]

Since one of the pairs of corresponding sides gives a valid scale factor that matches one of the responses provided, we take that value as the scale factor Kamla used.

Therefore, the scale factor that Kamla uses is 3.5.