1 in.
3.5 in.
0.7 in.
5 in.
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)
To find the scale factor, we need to compare the corresponding side lengths of the two parallelograms.
Let's compare the base of the parallelogram:
Parallelogram on the left: 1 in.
Parallelogram on the right: 3.5 in.
To find the scale factor, we divide the corresponding side lengths:
3.5/1 = 3.5
Therefore, Kamla used a scale factor of 3.5 to create the parallelogram on the right.
To determine the scale factor used by Kamla, we need to compare the corresponding sides of the parallelogram on the left and the parallelogram on the right.
Let's compare the length of the corresponding sides:
Left parallelogram:
- Side 1: 1 in.
- Side 2: 3.5 in.
Right parallelogram:
- Side 1: 0.7 in.
- Side 2: 5 in.
To find the scale factor, we can divide the length of each corresponding side in the right parallelogram with the length of the corresponding side in the left parallelogram.
Scale factor for Side 1: 0.7 in / 1 in = 0.7.
Scale factor for Side 2: 5 in / 3.5 in ≈ 1.43.
Since the scale factor should be the same for all corresponding sides, we take the average of the two scale factors:
Average scale factor ≈ (0.7 + 1.43) / 2 ≈ 1.065.
Therefore, the scale factor Kamla used is approximately 1.065.
To find the scale factor used by Kamla, we need to compare the corresponding side lengths of the parallelograms.
The given side lengths of the parallelogram on the left are:
1 in., 3.5 in., 0.7 in., and 5 in.
The corresponding side lengths of the parallelogram on the right are unknown, but let's denote them as x, y, z, and w.
To find the scale factor, we can divide the corresponding side lengths from the left parallelogram by the corresponding side lengths from the right parallelogram.
So, the scale factor can be found by:
Scale factor = (side length on the left) / (side length on the right)
For the given parallelograms, the scale factor is:
x/1 = y/3.5 = z/0.7 = w/5
We can solve this equation to find the value of x, y, z, and w.
Multiply both sides of the equation by the denominators:
x = y/3.5
x = z/0.7
x = w/5
Since all four expressions are equal to x, they are also equal to each other:
y/3.5 = z/0.7 = w/5
Now we can compare the given side lengths of the parallelogram on the left to find the scale factor.
Comparing the side lengths:
1/1 = 3.5/3.5 = 0.7/0.7 = 5/x
Simplifying the equation:
1 = 1 = 1 = 5/x
This equation tells us that the side length on the right, x, is equal to 5.
Therefore, the scale factor used by Kamla is:
Scale factor = side length on the left / side length on the right
Scale factor = 5/5
Scale factor = 1
So, Kamla used a scale factor of 1 to create the parallelogram on the right.