To find the scale factor used to create the second parallelogram from the first, we compare corresponding sides of the two parallelograms.
For the first parallelogram:
- One side = 5 inches
- Adjacent side = 3.5 inches
For the second parallelogram:
- Corresponding side = 0.7 inches
- Corresponding vertical side = 1 inch
Now, we calculate the scale factor for both dimensions:
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From the longer side: \[ \text{Scale factor} = \frac{\text{First parallelogram side}}{\text{Second parallelogram side}} = \frac{5}{0.7} \approx 7.14 \]
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From the shorter adjacent side: \[ \text{Scale factor} = \frac{3.5}{1} = 3.5 \]
The second parallelogram is scaled down from the first parallelogram, and therefore the appropriate scale factor can be calculated from these measurements. The calculations, however, indicate that the simpler approach is using a consistent comparison.
To find the overall consistent scale factor from the first side to second side corresponding dimensions (since it should ideally be the same for the geometric consistency):
We check the most relevant comparison which appears to closely align, for calculation consistency of \(0.2\) we would check \(5 \times 0.2 = 1\) and similarly \(3.5 \times 0.2 = 0.7\).
Thus the scale factor that Kamla uses to create the parallelogram on the right from that on the left is:
0.2