Transformations/Dilations

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does a scale factor of 1/2 indicate in a dilation?

Back

The figure is reduced to half its original size.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor of k?

Back

The new coordinates become (kx, ky).

Front

If a point (4, 6) is dilated by a scale factor of 2, what are the new coordinates?

Back

(8, 12).

Front

True or False: A dilation produces a congruent figure.

Back

False; a dilation produces a similar figure, not congruent.

Front

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

Back

It results in an enlargement of the figure.

Front

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

Back

It results in a reduction of the figure.

Front

If a point (3, 5) is dilated to (6, 10), what is the scale factor?

Back

2.

Front

True or False: A dilation can only be an enlargement.

Back

False; a dilation can be either an enlargement or a reduction.

Front

What is the scale factor if a point (10, 15) is dilated to (5, 7.5)?

Back

1/2.