11/7 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 and a center of dilation.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that scales, or multiplies, the coordinates of a figure during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you find the coordinates of a dilated point?

Back

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

Front

If point A(2, 3) is dilated by a scale factor of 2, what are the new coordinates?

Back

A'(4, 6)

Front

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

Back

The coordinates remain unchanged; the point does not move.

Front

If point B(4, 5) is dilated by a scale factor of 0.5, what are the new coordinates?

Back

B'(2, 2.5)

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted during a dilation.

Front

How does the center of dilation affect the image of a figure?

Back

The position of the center of dilation affects the location of the dilated image; if the center is inside the figure, the image will be inside as well, and if it is outside, the image will be outside.

Front

What are the coordinates of point C(1, 2) after a dilation with a scale factor of 3?

Back

C'(3, 6)

Front

If point D(-3, -4) is dilated by a scale factor of 2, what are the new coordinates?

Back

D'(-6, -8)