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 center of dilation and a scale factor.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Tags

CCSS.8.G.A.3

Front

How does a scale factor greater than 1 affect a figure during dilation?

Back

A scale factor greater than 1 enlarges the figure.

Tags

CCSS.8.G.A.3

Front

How does a scale factor less than 1 affect a figure during dilation?

Back

A scale factor less than 1 reduces the figure.

Tags

CCSS.8.G.A.3

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points of a figure are expanded or contracted.

Tags

CCSS.8.G.A.3

Front

If the center of dilation is the origin, how is a point (x,y) transformed?

Back

If the center of dilation is the origin, a point (x,y) is transformed to (kx, ky) where k is the scale factor.

Tags

CCSS.8.G.A.3

Front

What is the dilation rule for a scale factor of 0.5?

Back

The dilation rule for a scale factor of 0.5 is (x,y) → (0.5x, 0.5y).

Tags

CCSS.8.G.A.3

Front

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

Back

The dilation rule for a scale factor of 2 is (x,y) → (2x, 2y).

Tags

CCSS.8.G.A.3

Front

How do you represent the dilation of a point A(-3,-4) by a scale factor of n?

Back

The dilation of point A(-3,-4) by a scale factor of n is represented as (-3n, -4n).

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a polygon when it is dilated?

Back

The coordinates of each vertex of the polygon are multiplied by the scale factor.

Tags

CCSS.8.G.A.3