Scale Factor & Dilations

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In dilations, it determines how much larger or smaller a figure becomes.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

What is the dilation rule for a scale factor of 2?

Back

The dilation rule is (x, y) → (2x, 2y).

Front

What is the dilation rule for a scale factor of 1/2?

Back

The dilation rule is (x, y) → (1/2x, 1/2y).

Front

If a figure is dilated using the rule (3x, 3y), what type of dilation is it?

Back

It is an enlargement.

Front

If a figure is dilated using the rule (1/3x, 1/3y), what type of dilation is it?

Back

It is a reduction.

Front

What is the effect of a scale factor of 0.8 on a figure?

Back

It results in a reduction.

Front

How do you determine if a dilation is an enlargement or reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

What is the relationship between the original figure and the dilated figure?

Back

The dilated figure is similar to the original figure, maintaining the same shape but differing in size.