Dilations

Front

What is a dilation in geometry?

Back

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

Front

What does the scale factor in a dilation represent?

Back

The scale factor represents how much larger or smaller the shape will be after the dilation.

Front

If a shape is dilated by a scale factor greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If a shape is dilated by a scale factor less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What are the coordinates of point A' after a dilation of point A (-2, 2) by a scale factor of 2.5?

Back

A' = (-5, 5)

Front

What are the coordinates of point C' after a dilation of point C (3, -1) by a scale factor of 1/2?

Back

C' = (1.5, -0.5)

Front

What is the algebraic expression for a dilation by a scale factor of 3?

Back

(x, y) → (3x, 3y)

Front

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

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

What is the scale factor if a shape is enlarged from a size of 2 to a size of 6?

Back

The scale factor is 3.

Front

What is the scale factor if a shape is reduced from a size of 4 to a size of 2?

Back

The scale factor is 1/2.