Scale Factor and Dilations

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In geometry, it is the ratio of the size of an image to the size of the original figure.

Tags

CCSS.7.G.A.1

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

The new point is (kx, ky).

Tags

CCSS.8.G.A.3

Front

What does it mean to dilate a figure?

Back

To dilate a figure means to resize it by a scale factor, either enlarging or reducing its dimensions.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a figure is enlarged from a size of 3 to a size of 9?

Back

The scale factor is 3 (9/3).

Tags

CCSS.7.G.A.1

Front

What is the scale factor if a figure is reduced from a size of 10 to a size of 5?

Back

The scale factor is 1/2 (5/10).

Tags

CCSS.7.G.A.1

Front

What is an example of an enlargement in terms of scale factor?

Back

A scale factor greater than 1, such as k = 2.5, enlarges the figure.

Tags

CCSS.8.G.A.3

Front

What is an example of a reduction in terms of scale factor?

Back

A scale factor less than 1, such as k = 1/2, reduces the figure.

Tags

CCSS.8.G.A.3

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

If the scale factor is 1/4, what happens to the size of the figure?

Back

The figure is reduced to one-fourth of its original size.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in the algebraic representation (x,y) to (2x,2y)?

Back

The scale factor is k = 2.

Tags

CCSS.7.G.A.1