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 is the scale factor in a dilation?

Back

The ratio by which a figure is enlarged or reduced during a dilation.

Front

If a figure is dilated by a scale factor of 2, what happens to its size?

Back

The figure's size is doubled.

Front

If a figure is dilated by a scale factor of 1/2, what happens to its size?

Back

The figure's size is reduced to half.

Front

What is the center of dilation?

Back

The fixed point in a dilation from which all points are expanded or contracted.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

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

Back

The new coordinates are (kx, ky).

Front

What is the result of dilating a point (3, 4) by a scale factor of 3?

Back

The new coordinates are (9, 12).

Front

Can a dilation produce a negative scale factor?

Back

Yes, a negative scale factor results in a reflection across the center of dilation.

Front

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

Back

It results in an enlargement of the figure.