Dilations

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but not its shape.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

What is the scale factor in a dilation?

Back

The ratio of the distance from the center of dilation to a point on the figure and the distance from the center of dilation to the corresponding point on the dilated figure.

Front

If a dilation has a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged.

Front

Is a dilated figure congruent to the original figure?

Back

No, a dilation produces a similar figure, not a congruent one.

Front

What are the coordinates of point A(3, 6) after a dilation with a scale factor of 2?

Back

(6, 12)

Front

If the scale factor from triangle ABC to triangle DEF is 3/2, what type of transformation occurs?

Back

An enlargement.

Front

If the scale factor from triangle XYZ to triangle PQR is 2/3, what type of transformation occurs?

Back

A reduction.

Front

What is the effect of a dilation centered at the origin on the coordinates of a point (x, y)?

Back

The new coordinates will be (kx, ky) where k is the scale factor.