Dilations L

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 center point and a scale factor.

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor between 0 and 1 indicate?

Back

A scale factor between 0 and 1 indicates a reduction of the figure.

Front

How do you calculate the image coordinates after a dilation?

Back

To find the image coordinates, multiply each coordinate of the original point by the scale factor.

Front

What is the scale factor if the original point (4, 6) is dilated to (8, 12)?

Back

The scale factor is 2.

Front

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

Back

The new coordinates are (rx, ry).

Front

What is the effect of a negative scale factor on a dilation?

Back

A negative scale factor reflects the figure across the center point in addition to resizing it.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

If the point (3, 4) is dilated with a scale factor of 1/2, what are the new coordinates?

Back

The new coordinates are (1.5, 2).

Front

What happens to the distances between points during a dilation?

Back

The distances between points are multiplied by the scale factor.