Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using 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 scales, or multiplies, the dimensions of a figure 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 size of the figure.

Tags

CCSS.8.G.A.3

Front

What mathematical operation is performed with the scale factor during a dilation?

Back

Multiplication is used with the scale factor to determine the new dimensions of the figure.

Tags

CCSS.8.G.A.3

Front

If a line segment has a length of 12 units and is dilated to 4 units, what is the scale factor?

Back

The scale factor is 1/3.

Tags

CCSS.8.G.A.3

Front

What is the result of dilating a point (x, y) by a scale factor of k?

Back

The new coordinates will be (kx, ky).

Tags

CCSS.8.G.A.3

Front

What does it mean for figures to be similar in the context of dilation?

Back

Similar figures have the same shape but may differ in size; they are related by a scale factor.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the effect of a negative scale factor in dilation?

Back

A negative scale factor not only changes the size but also reflects the figure across the origin.

Tags

CCSS.8.G.A.3

Front

Can a dilation change the orientation of a figure?

Back

No, a dilation does not change the orientation of a figure; it only changes its size.

Tags

CCSS.8.G.A.3