Dilations

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but maintains its shape, using a center of dilation and a scale factor.

Front

What does the scale factor in a dilation represent?

Back

The ratio by which the dimensions of a figure are multiplied during the dilation process.

Front

If the scale factor is greater than 1, what type of dilation occurs?

Back

An enlargement.

Front

If the scale factor is less than 1, what type of dilation occurs?

Back

A reduction.

Front

What is the algebraic notation for a dilation with a scale factor of 2?

Back

(x, y) goes to (2x, 2y).

Front

What happens to the coordinates of a point (x, y) when dilated by a scale factor of 3?

Back

The new coordinates will be (3x, 3y).

Front

True or False: A dilation always produces a similar figure.

Back

True.

Front

What is the center of dilation?

Back

The fixed point in the plane about which all points are expanded or contracted during a dilation.

Front

How do you determine the coordinates of a dilated figure?

Back

Multiply each coordinate of the original figure by the scale factor.

Front

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

Back

It reflects the figure across the center of dilation in addition to resizing it.