Dilations

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 does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

If a triangle is dilated by a scale factor of 1/4, what happens to its size?

Back

The triangle will be reduced to one-fourth of its original size.

Front

How do you find the coordinates of a point after dilation?

Back

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

Front

What are the coordinates of point A(3, 6) after a dilation with a scale factor of 2?

Back

(6, 12)

Front

If point B(4, 5) is dilated by a scale factor of 3, what are the new coordinates?

Back

(12, 15)

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.

Front

What happens to the angles of a figure during dilation?

Back

The angles of a figure remain unchanged during dilation.

Front

If a point is dilated by a scale factor of 1, what happens to its coordinates?

Back

The coordinates remain the same; the point does not change.

Front

What is the image of point C(-2, -3) after a dilation with a scale factor of 1/2?

Back

(-1, -1.5)