Scale Factor and Similar Figures

Front

What is a scale factor?

Back

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

Front

If the scale factor is 1/2, what does that mean for the size of a figure?

Back

It means the figure is reduced to half its original size.

Front

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

Back

The scale factor is 2.

Front

How do you find the new perimeter of a similar figure?

Back

Multiply the original perimeter by the scale factor.

Front

If Triangle ABC has a perimeter of 72 cm, what is the new perimeter if the scale factor is 0.75?

Back

54 cm (72 cm * 0.75 = 54 cm).

Front

What is the relationship between similar figures?

Back

Similar figures have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

If the scale factor from ΔDEF to ΔABC is 1/2, what is the scale factor from ΔABC to ΔDEF?

Back

The scale factor is 2.

Front

How do you calculate the distance on a map using a scale?

Back

Use the formula: Distance on map = Actual distance / Scale factor.

Front

If 2 inches on a map represents 35 miles, how many inches represent 315 miles?

Back

18 inches (315 miles / 35 miles per 2 inches = 18 inches).

Front

What is the scale factor if the original triangle has a side length of 10 cm and the new triangle has a side length of 5 cm?

Back

The scale factor is 1/2.