Dilations and Rotations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

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

Back

Multiplication.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

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

Back

The figure enlarges.

Front

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

Back

The figure reduces.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure about a fixed point for a given angle.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.

Front

How do you find the coordinates of a dilated image?

Back

Multiply the original coordinates by the scale factor.

Front

If a figure is dilated by a scale factor of 3, what happens to the coordinates of point (2, 3)?

Back

The new coordinates will be (6, 9).

Front

What is the difference between enlargement and reduction in dilations?

Back

Enlargement occurs when the scale factor is greater than 1, while reduction occurs when the scale factor is less than 1.