Dilations and Scale Factor

Front

What is a dilation?

Back

The process of making a polygon larger or smaller without changing its shape.

Front

When the scale factor of a dilation is less than one, what type of dilation is it?

Back

Reduction.

Front

What is the formula for scale factor?

Back

Front

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

Back

Front

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

Back

Multiplication.

Front

What happens to a shape when the scale factor is greater than one?

Back

The shape is enlarged.

Front

What happens to a shape when the scale factor is equal to one?

Back

The shape remains the same size.

Front

If a triangle has vertices at (2, 3), (4, 5), and (6, 7), and is dilated by a scale factor of 2, what are the new coordinates?

Back

(4, 6), (8, 10), (12, 14).

Front

How do you determine if a dilation is a reduction or enlargement?

Back

By comparing the scale factor to 1; less than 1 is reduction, greater than 1 is enlargement.

Front

What is the scale factor if a rectangle with dimensions 4x6 is dilated to dimensions 2x3?

Back