Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It can be either an enlargement or a reduction.

Tags

CCSS.8.G.A.3

Front

What does the scale factor in a dilation represent?

Back

The scale factor in a dilation represents the ratio of the distance from the center of dilation to a point on the image compared to the distance from the center of dilation to the corresponding point on the original figure.

Tags

CCSS.8.G.A.3

Front

If a dilation has a scale factor of 1, what happens to the figure?

Back

If a dilation has a scale factor of 1, the figure remains unchanged.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

A scale factor greater than 1 results in an enlargement of the figure.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

A scale factor less than 1 results in a reduction of the figure.

Tags

CCSS.8.G.A.3

Front

How do you find the coordinates of a dilated image given a scale factor?

Back

To find the coordinates of a dilated image, multiply each coordinate of the original figure by the scale factor.

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point A(3,3) after a dilation with a scale factor of 3?

Back

The coordinates of point A after dilation with a scale factor of 3 are A'(9,9).

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point B(6,6) after a dilation with a scale factor of 3?

Back

The coordinates of point B after dilation with a scale factor of 3 are B'(18,18).

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point C(9,3) after a dilation with a scale factor of 3?

Back

The coordinates of point C after dilation with a scale factor of 3 are C'(27,9).

Tags

CCSS.8.G.A.3

Front

True or False: A dilation with a scale factor of 2 is an enlargement.

Back

True.

Tags

CCSS.8.G.A.3