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
5
5
4
4
3.5
The scale factor used by Kamla can be determined by comparing the lengths of the corresponding sides of the two parallelograms.
In the first parallelogram, the longer side along the base is 5 inches.
In the second parallelogram, the longer side along the base is 0.7 inches.
To find the scale factor, we can divide the length of the second parallelogram's base side by the length of the first parallelogram's base side:
Scale factor = (0.7 inches)/(5 inches) = 0.14
Therefore, the scale factor used by Kamla is 0.14 (or 0.14:1).
pick the correct response from the list
0.2
0.2
5
5
4
4
3.5
The correct response from the list is 0.2.
To determine the scale factor used by Kamla to create the parallelogram on the right, we need to compare the corresponding sides of the two parallelograms.
In the first parallelogram, the longer parallel side is 5 inches and the adjacent side is 3.5 inches. In the second parallelogram, the longer parallel side is 0.7 inches and the adjacent vertical side is 1 inch.
To find the scale factor, we can divide the corresponding lengths of the sides.
For the longer parallel sides:
scale factor = (length of the longer parallel side in the second parallelogram) / (length of the longer parallel side in the first parallelogram)
scale factor = 0.7 inches / 5 inches
Similarly, for the adjacent sides:
scale factor = (length of the adjacent side in the second parallelogram) / (length of the adjacent side in the first parallelogram)
scale factor = 1 inch / 3.5 inches
By dividing the corresponding lengths of the sides, we find that the scale factor for both sides is 0.2.
Therefore, the scale factor Kamla used to create the parallelogram on the right is 0.2.