Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using a scale factor.

Front

What is a scale factor?

Back

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

Front

If the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What is the scale factor if OA' = 9 and OA = 36?

Back

The scale factor is 1/4.

Front

How do you find the new length after a dilation?

Back

Multiply the original length by the scale factor.

Front

What is the result of the dilation (x, y) → (3x, 3y)?

Back

This represents an enlargement by a scale factor of 3.

Front

What is the result of the dilation (x, y) → (0.5x, 0.5y)?

Back

This represents a reduction by a scale factor of 0.5.

Front

If AC = 64 and OA' = 9, what is A'C' if OA = 36?

Back

A'C' = 16.

Front

What does it mean if a shape is dilated by a scale factor of 2?

Back

The shape is enlarged to twice its original size.