Dilations

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but not its shape, either enlarging or reducing it.

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

How do you express a dilation with a scale factor of 2 algebraically?

Back

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

Front

What is the algebraic notation for a dilation with a scale factor of 1/3?

Back

(x, y) goes to (1/3x, 1/3y).

Front

If a point B is at (2, 3) and is dilated by a scale factor of 2, what are the new coordinates?

Back

(4, 6).

Front

If a point C is at (4, -2) and is dilated by a scale factor of 1/2, what are the new coordinates?

Back

(2, -1).

Front

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

Back

It reflects the figure across the origin while also resizing it.

Front

What is the scale factor if a figure is reduced to half its size?

Back

1/2.

Front

What happens to the area of a figure when it is dilated by a scale factor of k?

Back

The area is multiplied by k^2.