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, either enlarging or reducing it.

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 (x, y) is dilated by a scale factor of k, what are the new coordinates?

Back

The new coordinates will be (kx, ky).

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 1/2?

Back

The coordinates of the point are halved.

Front

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

Back

The scale factor is 1/4.

Front

If Point B at (3, -8) is dilated by a scale factor of 1/2, what are the new coordinates?

Back

The new coordinates are (1.5, -4).

Front

Can a dilation be both an enlargement and a reduction?

Back

Yes, a dilation can be either an enlargement (scale factor > 1) or a reduction (scale factor < 1).

Front

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

Back

The new coordinates are A'(9,9).

Front

What is the effect of a scale factor of 2 on a figure?

Back

A scale factor of 2 enlarges the figure, doubling its size.

Front

If a figure is dilated by a scale factor of 1/3, what happens to its size?

Back

The figure is reduced to one-third of its original size.