Scale factor and dilations

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It determines how much a figure is enlarged or reduced.

Tags

CCSS.7.G.A.1

Front

If a scale factor is greater than 1, what happens to the figure?

Back

The figure is enlarged.

Tags

CCSS.8.G.A.3

Front

If a scale factor is less than 1 but greater than 0, what happens to the figure?

Back

The figure is reduced.

Tags

CCSS.8.G.A.3

Front

What does a scale factor of 1 mean?

Back

A scale factor of 1 means the figure remains the same size.

Tags

CCSS.7.G.A.1

Front

What is the result of a dilation?

Back

A dilation produces a similar figure that maintains the same shape but may differ in size.

Tags

CCSS.8.G.A.3

Front

How do you represent a dilation algebraically?

Back

A dilation can be represented as (x,y) → (kx, ky), where k is the scale factor.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in the transformation (x,y) to (3x, 3y)?

Back

The scale factor is k=3.

Tags

CCSS.7.G.A.1

Front

What happens to the coordinates of a point (x,y) when a scale factor of 1/2 is applied?

Back

The new coordinates will be (1/2x, 1/2y).

Tags

CCSS.8.G.A.3

Front

Is the statement 'A dilation produces a congruent figure' true or false?

Back

False. A dilation produces a similar figure, not necessarily congruent.

Tags

CCSS.8.G.A.3

Front

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

Back

A negative scale factor reflects the figure across the origin and may also change its size.

Tags

CCSS.8.G.A.3