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 center point and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of a length of the new figure to the corresponding length on the original figure.

Front

If a point (x, y) is dilated by a scale factor k, what is the new coordinate?

Back

The new coordinate is (kx, ky).

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is between 0 and 1?

Back

The figure undergoes a reduction.

Front

State the coordinate of the image of the point B (-10,-6) under a dilation with center at the origin and scale factor k = 1/2.

Back

(-5,-3)

Front

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

Back

1/4

Front

True or False: A dilation with a scale factor of 3 results in a reduction of the figure.

Back

False.

Front

If Point B (4, 3) is dilated by a scale factor of 3, what is the new coordinate?

Back

(12, 9).

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.