Scale Factor (8.10D)

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

If your scale factor (SF) is greater than 1, what type of dilation is it?

Back

Enlargement

Front

If your scale factor (SF) is less than 1, what type of dilation is it?

Back

Reduction

Front

What is the relationship between the linear scale factor and the perimeter scale factor?

Back

The perimeter scale factor is equal to the linear scale factor.

Front

If the original length is 8 units and the scale factor is 2, what is the new length?

Back

16 units

Front

If the original area is 25 square units and the scale factor is 3, what is the new area?

Back

225 square units (Area scale factor is the square of the linear scale factor: 3^2 = 9, so 25 * 9 = 225).

Front

What is the scale factor from a triangle with sides 3, 4, 5 to a triangle with sides 6, 8, 10?

Back

2 (Each side is multiplied by 2).

Front

If the original figure has a perimeter of 20 units and the scale factor is 1/2, what is the new perimeter?

Back

10 units

Front

What is the scale factor if a rectangle's length changes from 10 units to 5 units?

Back

1/2

Front

If the scale factor is 1/4, what happens to the size of the figure?

Back

The figure is reduced to one-fourth of its original size.