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 center of dilation and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a point (2, -1) is transformed to (8, -4), what is the scale factor?

Back

4

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

It reduces the size of the figure.

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

It enlarges the size of the figure.

Front

True or False: A dilation produces a congruent figure.

Back

False

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

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

Back

Multiply the original coordinates by the scale factor.

Front

If A(3, 6) is dilated by a scale factor of 2, what are the new coordinates?

Back

(6, 12)

Front

What is the formula for dilating a point (x, y) by a scale factor k?

Back

(kx, ky)