Review of 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. It involves a scale factor and a center of dilation.

Front

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

Back

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

Front

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

Back

A scale factor less than 1 indicates a shrink of the figure.

Front

What is the scale factor if a point (x, y) is dilated to (kx, ky)?

Back

The scale factor is k.

Front

If point A (4, 6) is dilated by a scale factor of 2, what are the coordinates of point A'?

Back

Point A' will be (8, 12).

Front

If point B (3, 5) is dilated by a scale factor of 1/2, what are the coordinates of point B'?

Back

Point B' will be (1.5, 2.5).

Front

How do you determine the scale factor from two points A (x1, y1) and A' (x2, y2)?

Back

The scale factor can be determined by the ratio of the distances: scale factor = \frac{x2}{x1} = \frac{y2}{y1}.

Front

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

Back

The scale factor is \frac{1}{4}.

Front

What is the scale factor if point A (9, -3) is dilated to point A' (3, -1)?

Back

The scale factor is \frac{1}{3}.

Front

What happens to the coordinates of a point when it is dilated by a scale factor of 3?

Back

Each coordinate of the point is multiplied by 3.