Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same.

Tags

CCSS.8.G.A.3

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the new figure is compared to the original figure.

Tags

CCSS.8.G.A.3

Front

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

Back

The figure enlarges.

Tags

CCSS.8.G.A.3

Front

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

Back

The figure reduces in size.

Tags

CCSS.8.G.A.3

Front

What is the formula for finding the scale factor?

Back

Scale Factor = Length of new figure / Length of original figure.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if the original length is 5 and the new length is 10?

Back

The scale factor is 2.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if the original length is 8 and the new length is 4?

Back

The scale factor is 1/2.

Tags

CCSS.7.G.A.1

Front

In a dilation, what operation is primarily used with the scale factor?

Back

Multiplication.

Tags

CCSS.8.G.A.3

Front

What is the relationship between corresponding sides of similar figures?

Back

The lengths of corresponding sides are proportional to the scale factor.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the center of dilation?

Back

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

Tags

CCSS.8.G.A.3