Homework 1/9

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used to determine how much larger or smaller a figure is compared to another figure.

Front

If the scale factor is 2, what does that mean?

Back

It means that the new figure is twice the size of the original figure.

Front

If the scale factor is 0.5, how does the new figure compare to the original?

Back

The new figure is half the size of the original figure.

Front

What happens to the size of a figure if the scale factor is 1?

Back

The figure remains the same size as the original.

Front

How do you calculate the scale factor between two figures?

Back

Divide the length of a side of the new figure by the length of the corresponding side of the original figure.

Front

What is the scale factor from figure A (length 4) to figure B (length 8)?

Back

The scale factor is 2 (8 divided by 4).

Front

What is the scale factor from figure C (length 6) to figure D (length 4)?

Back

The scale factor is 2/3 (4 divided by 6).

Front

If a figure is enlarged by a scale factor of 3, what happens to its area?

Back

The area increases by a factor of 3^2, which is 9 times the original area.

Front

If a figure is reduced by a scale factor of 1/2, what happens to its perimeter?

Back

The perimeter is also reduced by a factor of 1/2.

Front

What is the relationship between scale factor and similarity in figures?

Back

Similar figures have the same shape but different sizes, and the scale factor describes the ratio of their corresponding lengths.