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 not its shape, using a center point and a scale factor.

Tags

CCSS.8.G.A.3

Front

What does a scale factor greater than 1 indicate?

Back

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

Tags

CCSS.8.G.A.3

Front

What does a scale factor less than 1 indicate?

Back

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

Tags

CCSS.8.G.A.3

Front

What is the formula for calculating the scale factor?

Back

Tags

CCSS.7.G.A.1

Front

How do you find the image of a point under dilation?

Back

To find the image of a point under dilation, multiply the coordinates of the original point by the scale factor.

Tags

CCSS.8.G.A.3

Front

If point G (-10, -6) is dilated with a scale factor of 1/2, what is the image?

Back

The image G' is (-5, -3).

Tags

CCSS.8.G.A.3

Front

If point B (4, 9) is dilated with a scale factor of 2, what is the image?

Back

The image B' is (8, 18).

Tags

CCSS.8.G.A.3

Front

What is the scale factor if point A (8, 12) is dilated to A' (2, 3)?

Back

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point when the scale factor is 1?

Back

When the scale factor is 1, the coordinates of the point remain unchanged.

Tags

CCSS.8.G.A.3

Front

What is the effect of a negative scale factor on a dilation?

Back

A negative scale factor reflects the figure across the center point in addition to resizing it.

Tags

CCSS.8.G.A.3