Scale Factors

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 greater than 1, what happens to the size of the figure?

Back

The figure is enlarged.

Front

If the scale factor is less than 1, what happens to the size of the figure?

Back

The figure is reduced.

Front

What is the scale factor from a small triangle to a larger triangle if the sides of the larger triangle are twice as long?

Back

2

Front

How do you calculate 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

What is the scale factor from ΔABC to ΔDEF if the sides of ΔDEF are 3 times the length of the sides of ΔABC?

Back

3

Front

If a rectangle has a length of 10 cm and a width of 5 cm, what are the dimensions of a rectangle with a scale factor of 2?

Back

Length: 20 cm, Width: 10 cm.

Front

What is the scale factor if a model car is 1/10 the size of the actual car?

Back

1/10

Front

If the scale factor is 4, what is the new length of a line segment that is originally 5 cm long?

Back

20 cm.

Front

What does it mean if two figures are similar?

Back

It means they have the same shape but may differ in size, and their corresponding sides are in proportion.