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? parallelogram 1: 5 in x 3.5 in parallelogram 2: 1 in x 0.7 in

Question

a. 0.2
b. 5
c. 3.5
d. 4

Answer 1

To find the scale factor used to create the second parallelogram from the first, we can compare the corresponding side lengths of the two parallelograms.

For parallelogram 1, the dimensions are:

• Length = 5 inches
• Width = 3.5 inches

For parallelogram 2, the dimensions are:

• Length = 1 inch
• Width = 0.7 inches

Now we calculate the scale factor \( k \) for both length and width:

1. For the length: \[ k = \frac{\text{Length of parallelogram 2}}{\text{Length of parallelogram 1}} = \frac{1}{5} = 0.2 \]

2. For the width: \[ k = \frac{\text{Width of parallelogram 2}}{\text{Width of parallelogram 1}} = \frac{0.7}{3.5} = 0.2 \]

In both cases, the scale factor is 0.2.

Therefore, the scale factor used is a. 0.2.