Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Tags

CCSS.8.G.A.3

Front

If the scale factor is greater than 1, what type of dilation occurs?

Back

An enlargement occurs when the scale factor is greater than 1.

Tags

CCSS.8.G.A.3

Front

If the scale factor is less than 1, what type of dilation occurs?

Back

A reduction occurs when the scale factor is less than 1.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains the same size; it is unchanged.

Tags

CCSS.8.G.A.3

Front

How do you find the coordinates of a dilated point using a scale factor?

Back

Multiply the original coordinates by the scale factor.

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point C(6, -3) after a dilation with a scale factor of 2?

Back

C' will be (12, -6) after dilation.

Tags

CCSS.8.G.A.3

Front

What happens to the area of a figure when it is dilated by a scale factor of k?

Back

The area is multiplied by k², where k is the scale factor.

Tags

CCSS.8.G.A.3

Front

What is the rule for dilating a point (x, y) by a scale factor of 1/2?

Back

The rule is (x, y) → (1/2 x, 1/2 y).

Tags

CCSS.8.G.A.3

Front

True or False: A dilation can change the shape of a figure.

Back

False. A dilation does not change the shape, only the size.

Tags

CCSS.8.G.A.3