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 scale factor mean?

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

If a scale factor is greater than 1, what type of dilation is it?

Back

It is an enlargement.

Tags

CCSS.8.G.A.3

Front

If a scale factor is less than 1, what type of dilation is it?

Back

It is a reduction.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a figure is enlarged from a size of 2 to a size of 10?

Back

The scale factor is 5.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if a figure is reduced from a size of 8 to a size of 4?

Back

The scale factor is 1/2.

Tags

CCSS.7.G.A.1

Front

How do you find the scale factor between two similar figures?

Back

Divide the length of a side of the image by the length of the corresponding side of the original figure.

Tags

CCSS.7.G.A.1

Front

What is the scale factor between triangle ABC and triangle A'B'C' if AB = 6 and A'B' = 3?

Back

The scale factor is 1/2.

Tags

CCSS.7.G.A.1

Front

If the scale factor is 3, what happens to the area of the figure?

Back

The area is multiplied by the square of the scale factor, so it increases by a factor of 9.

Tags

CCSS.7.G.A.1

Front

If the scale factor is 1/2, what happens to the perimeter of the figure?

Back

The perimeter is multiplied by the scale factor, so it decreases by half.

Tags

CCSS.7.G.A.1