Scale Factor

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 1 mean?

Back

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

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Front

What is the scale factor if a triangle's sides are doubled?

Back

The scale factor is 2.

Front

If a rectangle has a scale factor of 3, how does its area change?

Back

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

Front

What is the relationship between scale factor and proportionality?

Back

A scale factor indicates proportionality; if two figures are similar, their corresponding sides are proportional to the scale factor.

Front

If the scale factor from a small model to a large model is 4, what does this mean?

Back

It means the large model is 4 times larger than the small model in each dimension.

Front

What is the scale factor from a large fry to a small fry if the scale factor is 1/3?

Back

The small fry is 1/3 the size of the large fry.

Front

If two triangles have a scale factor of 5, what can be said about their corresponding sides?

Back

The corresponding sides of the triangles are in the ratio of 5:1.