Dilations and Scale Factor

Front

What is a dilation?

Back

A dilation is a transformation that produces a similar figure by enlarging or reducing it based on a scale factor.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the new figure to the length of the corresponding side of the original figure.

Front

If the scale factor is less than 1, what happens to the figure?

Back

The figure undergoes a reduction, making it smaller.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure undergoes an enlargement, making it larger.

Front

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

Back

Multiplication is used to apply the scale factor to the dimensions of the original figure.

Front

What is the center of dilation?

Back

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

Front

How do you find the new coordinates of a point after dilation?

Back

Multiply the original coordinates by the scale factor.

Front

What happens to the angles of a figure during a dilation?

Back

The angles remain unchanged during a dilation.

Front

What is the relationship between the original figure and the dilated figure?

Back

The original figure and the dilated figure are similar, meaning they have the same shape but different sizes.