Let parallelogram Right parallelogram
Side width: 3.5 in Side width: 1 in
Length: 5 in Length 0.7
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?
A. 0.2
B. 4
C. 5
D. 3.5
To find the scale factor, we need to divide the corresponding side lengths of the two parallelograms.
For the side widths, we have:
Scale factor = Width of right parallelogram / Width of left parallelogram
Scale factor = 1 in / 3.5 in
Scale factor ≈ 0.286 (rounded to 3 decimal places)
For the lengths, we have:
Scale factor = Length of right parallelogram / Length of left parallelogram
Scale factor = 0.7 in / 5 in
Scale factor = 0.14
Since the scale factor for the side widths and the scale factor for the lengths are not the same, we cannot determine a single scale factor for the entire parallelogram. Therefore, none of the given options are correct.
To find the scale factor, we need to compare the corresponding side lengths of the two parallelograms.
Let's compare the side widths of the two parallelograms first:
For the left parallelogram, the side width is 3.5 inches.
For the right parallelogram, the side width is 1 inch.
To find the scale factor, we can divide the side width of the right parallelogram by the side width of the left parallelogram:
Scale factor = side width of right parallelogram / side width of left parallelogram
Scale factor = 1 inch / 3.5 inches
Scale factor ≈ 0.2857
So, the approximate scale factor Kamla used is 0.2857.
Now, let's check which option in the given choices of A, B, C, and D matches the scale factor:
A. 0.2: This does not match the scale factor.
B. 4: This does not match the scale factor.
C. 5: This does not match the scale factor.
D. 3.5: This does not match the scale factor.
None of the options match the scale factor of approximately 0.2857.
Therefore, none of the given choices match the scale factor Kamla used.