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 the original.

Front

What happens when the scale factor is greater than 1?

Back

An enlargement occurs.

Front

What happens when the scale factor is less than 1?

Back

A reduction occurs.

Front

If the scale factor is 1, what does that mean?

Back

The figure remains the same size; it is an exact copy.

Front

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

Back

Divide the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

Front

If triangle ABC has a scale factor of 2 to triangle DEF, what is the relationship between their side lengths?

Back

The side lengths of triangle DEF are half the lengths of triangle ABC.

Front

If a triangle is enlarged by a scale factor of 3, how does the area change?

Back

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

Front

What is the scale factor if the original triangle has a side length of 4 and the new triangle has a side length of 2?

Back

The scale factor is 1/2.

Front

If two triangles are similar and the scale factor is 3, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 3.

Front

If triangle XYZ is similar to triangle ABC with a scale factor of 1/3, what is the length of a side in triangle ABC if the corresponding side in triangle XYZ is 9?

Back

The length of the corresponding side in triangle ABC is 27.