Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A transformation that produces an image that is the same shape as the original, but is a different size.

Tags

CCSS.8.G.A.3

Front

What does scale factor mean?

Back

The ratio of the lengths of two corresponding sides of two similar figures.

Tags

CCSS.7.G.A.1

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 is the scale factor if a triangle's sides are multiplied by 3?

Back

The scale factor is 3.

Tags

CCSS.7.G.A.1

Front

If a shape is dilated with a scale factor of 1/2, what type of dilation is it?

Back

It is a reduction.

Tags

CCSS.8.G.A.3

Front

What is the scale factor between two similar figures if the lengths of corresponding sides are in the ratio 5:1?

Back

The scale factor is 5.

Tags

CCSS.7.G.A.1

Front

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 2, what happens to the area?

Back

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

Tags

CCSS.7.G.A.1

Front

What is the effect of a scale factor of 1 on a shape?

Back

The shape remains unchanged.

Tags

CCSS.8.G.A.3

Front

If a rectangle is dilated by a scale factor of 4, how does the perimeter change?

Back

The perimeter increases by a factor of 4.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a shape is reduced from a length of 10 to a length of 2?

Back

The scale factor is 1/5.

Tags

CCSS.7.G.A.1