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, 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

How do you determine if a dilation is an enlargement or reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Tags

CCSS.8.G.A.3

Front

What happens to the dimensions of a shape during an enlargement?

Back

The dimensions of the shape increase, making it larger.

Tags

CCSS.8.G.A.3

Front

What happens to the dimensions of a shape during a reduction?

Back

The dimensions of the shape decrease, making it smaller.

Tags

CCSS.8.G.A.3

Front

If the scale factor is 2, what type of dilation is it?

Back

It is an enlargement.

Tags

CCSS.8.G.A.3

Front

If the scale factor is 1/3, 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 shape is reduced to half its size?

Back

The scale factor is 1/2.

Tags

CCSS.7.G.A.1

Front

How do you calculate 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

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 4, what happens to the area?

Back

The area increases by a factor of 4^2 = 16.

Tags

CCSS.8.G.A.3