Dilations and Scale Factor Practice

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 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

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

Back

It is a reduction.

Tags

CCSS.8.G.A.3

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 0.5.

Tags

CCSS.7.G.A.1

Front

How do you determine the scale factor from 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 rule for dilating a point (x, y) by a scale factor of k?

Back

The rule is (x, y) → (kx, ky).

Tags

CCSS.8.G.A.3

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a dilation with a scale factor of 3?

Back

The new coordinates are (3, 6), (9, 12), and (15, 18).

Tags

CCSS.8.G.A.3

Front

What happens to the area of a figure when it is dilated by a scale factor of k?

Back

The area is multiplied by k².

Tags

CCSS.7.G.A.1