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
5
3.5
0.2
The scale factor that Kamla uses is 0.2. This can be determined by dividing the lengths of the corresponding sides of the two parallelograms.
For the first parallelogram, the longer side along the base is 5 inches and the adjacent side is 3.5 inches.
For the second parallelogram, the longer parallel side along the base is 0.7 inches and the adjacent vertical side is 1 inch.
To find the scale factor, we divide the length of the corresponding sides:
0.7 inches / 5 inches = 0.14
1 inch / 3.5 inches = 0.2857
Since both ratios are not equal, we take the average of the two ratios:
(0.14 + 0.2857) / 2 = 0.21285
Rounded to one decimal place, the scale factor is approximately 0.2.