Scale Factors & Scale Drawings

Front

What is a scale factor?

Back

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

Front

If the scale factor is less than one, what happens to the figure?

Back

The figure will be a reduction.

Front

What does a scale factor of ½ indicate?

Back

A scale factor of ½ indicates a reduction.

Front

If the scale factor is greater than one, what happens to the figure?

Back

The figure will be an enlargement.

Front

What is the scale factor from the small fry to the large fry if the large fry is three times the size of the small fry?

Back

The scale factor is 3.

Front

What is the scale factor from a smaller quadrilateral to a larger quadrilateral if the larger quadrilateral is four times the size of the smaller?

Back

The scale factor is 4.

Front

How do you calculate the scale factor between two similar figures?

Back

The scale factor is calculated by dividing the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains the same size.

Front

What is the relationship between scale factors and area?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

What is the relationship between scale factors and volume?

Back

The volume of similar figures is proportional to the cube of the scale factor.