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 scale factor.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

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

Back

The new point is (kx, ky).

Front

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

Back

The scale factor is ¼.

Front

How do you determine the scale factor of a dilation?

Back

The scale factor is determined by the ratio of the length of a side of the new figure to the corresponding length of the original figure.

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains unchanged in size.

Front

What is the relationship between the original figure and the dilated figure?

Back

The dilated figure is similar to the original figure, maintaining the same shape but differing in size.

Front

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

Back

The formula is (kx, ky).

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 0.5?

Back

The coordinates of the point are halved.