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
4
5
5
3.5
3.5
0.2
0.2
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To determine the scale factor, we can compare the lengths of 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 go from the first parallelogram to the second parallelogram, we can divide the lengths of the corresponding sides.
For the longer side:
0.7 inches / 5 inches = 0.14
For the adjacent side:
1 inch / 3.5 inches ≈ 0.2857
The scale factor is determined by the ratio of the corresponding lengths of the sides, so the scale factor Kamla uses is approximately 0.14 or 0.2857.