Dilations Practice

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 scale factor.

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

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

Back

G' (-5, -3)

Front

What is the image of point B (-3, 0) after a dilation with a scale factor of 3?

Back

B' (-9, 0)

Front

What is the image of point A (3, 6) after a dilation with a scale factor of 5?

Back

(15, 30)

Front

How do you calculate the image of a point after dilation?

Back

Multiply each coordinate of the point by the scale factor.

Front

What is the scale factor if the original point is (2, 3) and the image is (4, 6)?

Back

The scale factor is 2.

Front

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

Back

The coordinates remain unchanged; the image is the same as the original point.

Front

If a point is dilated by a scale factor of 1/3, what happens to its distance from the origin?

Back

The distance from the origin is reduced to one-third of its original distance.

Front

What is the image of point C (0, 4) after a dilation with a scale factor of 2?

Back

C' (0, 8)