Dilations

Front

What is a dilation in geometry?

Back

A transformation that produces a figure similar to the original but with a different size, using a scale factor.

Front

What is the scale factor in a dilation?

Back

A number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

What does it mean to dilate a figure by a scale factor of 3?

Back

Each point of the figure is moved away from the center of dilation by a distance that is three times its original distance.

Front

What is the center of dilation?

Back

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

Front

If a figure is dilated by a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged in size; it is congruent to the original.

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

What is the result of dilating the point (4, 5) by a scale factor of 2?

Back

(8, 10).

Front

If the point (8, 12) is dilated to (2, 3), what is the scale factor?

Back

1/4.

Front

What is the effect of a scale factor less than 1 in a dilation?

Back

It produces a reduction, making the figure smaller.