Dilations

Front

What is a dilation in geometry?

Back

A transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

True or False: A dilation produces a similar figure.

Back

True

Front

What happens when the scale factor of a dilation is less than one?

Back

The dilation is a reduction.

Front

What is the scale factor if the image is half the size of the original?

Back

1/2

Front

What is the scale factor if the image is twice the size of the original?

Back

2

Front

If a point C is dilated by a scale factor of 3, what is the new position of point C if it was originally at (3, 2)?

Back

(9, 6)

Front

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

Back

It enlarges the figure.

Front

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

Back

It reduces the figure.

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a dilation with a scale factor of 2?

Back

(2, 4), (6, 8), (10, 12)