Scale factor with Perimeter and Area

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used to enlarge or reduce figures in geometry.

Front

If a shape is multiplied by a scale factor of 1/2, how does the area change?

Back

The area will be 1/4 of the original area.

Front

What happens to the perimeter of a shape when it is enlarged by a scale factor of 3?

Back

The perimeter will also be 3 times larger than the original perimeter.

Front

If the side lengths of a rectangle are doubled, what happens to the area?

Back

The area will be 4 times the original area.

Front

What is the relationship between scale factor and area?

Back

The area changes by the square of the scale factor.

Front

If the original perimeter of a rectangle is 20 cm and the scale factor is 5, what is the new perimeter?

Back

The new perimeter will be 100 cm.

Front

True or False: If the scale factor is 1/3, the area will be 1/9 of the original area.

Back

True.

Front

What is the scale factor from shape A to shape B if shape B is twice as large?

Back

The scale factor is 2.

Front

If a triangle has a scale factor of 1/4, what happens to its perimeter?

Back

The perimeter will be 1/4 of the original perimeter.

Front

If the area of a square is 36 cm², what will be the area if the scale factor is 2?

Back

The new area will be 144 cm².