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
5
5
4
4
0.2
0.2
3.5
3.5
To find the scale factor, we need to compare the corresponding sides of the two parallelograms.
In the first parallelogram, the longer side is 5 inches and the adjacent side is 3.5 inches.
In the second parallelogram, the longer side is 0.7 inches and the adjacent side is 1 inch.
To find the scale factor, we can divide the corresponding sides of the second parallelogram by the corresponding sides of the first parallelogram:
0.7 inches / 5 inches = 0.14
1 inch / 3.5 inches = 0.2857
Since we want to find the scale factor, we can take the average of these two ratios:
(0.14 + 0.2857) / 2 ≈ 0.21285
Therefore, Kamla uses a scale factor of approximately 0.21285.