Question

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) 2
b) 1/2
c) 3
d) 1/3

Answer 1

The question seeks to identify the scale factor used by Kamla to transform one parallelogram to another. The scale factor can be calculated by comparing corresponding lengths of both parallelograms. Scale factors greater than 1 enlarge dimensions, while those less than 1 reduce them.

Step-by-step explanation:

The question asks us to determine the scale factor Kamla uses to create two parallelograms. To do this, we need to compare the corresponding lengths of the two parallelograms and find out how many times larger or smaller one is compared to the other.

For example, if we are given that the width of one parallelogram is 2 inches and the similar width of another parallelogram is 4 inches, the scale factor used to enlarge the first parallelogram to the second would be 4 inches / 2 inches = 2. Conversely, if we want to shrink the second parallelogram to the size of the first, the scale factor would be 2 inches / 4 inches or 1/2.

Scale factors can be used in various ways. For instance, if Kamla has a scale factor of 2, she would double the size of the original dimensions. If the scale factor is 1/2, she would halve them. Remember, a scale factor greater than 1 indicates an enlargement, whereas a scale factor less than 1 indicates a reduction.