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

How do you express a scale without units?

Back

A scale without units can be expressed as a ratio, such as '15 to 30', which indicates the relationship between two measurements.

Front

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

Back

The figure undergoes a reduction, meaning it becomes smaller.

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates that the figure will become bigger or enlarged.

Front

If a map has a scale of 1 cm = 2 km, what is the actual distance for 3 cm on the map?

Back

The actual distance is 6 kilometers.

Front

What is the scale factor from ΔDEF to ΔABC if the sides of ΔABC are twice as long?

Back

The scale factor is 2.

Front

What is the relationship between scale factor and enlargement?

Back

A scale factor greater than 1 results in an enlargement of the figure.

Front

What is the relationship between scale factor and reduction?

Back

A scale factor less than 1 results in a reduction of the figure.

Front

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

Back

To find the scale factor, divide the length of a side of the larger figure by the corresponding side of the smaller figure.

Front

What does a scale of 1:100 mean?

Back

A scale of 1:100 means that 1 unit on the drawing or model represents 100 units in reality.