Dilations on the Coordinate Plane (8th)

Front

What is a dilation in geometry?

Back

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

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much the figure will be enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Front

How do you write the algebraic notation for a dilation with a scale factor of 3?

Back

(x, y) goes to (3x, 3y)

Front

What happens to the coordinates of a point (x, y) when the scale factor is 1/2?

Back

The coordinates become (1/2x, 1/2y).

Front

If a dilation has a scale factor of 0.5, what type of transformation is it?

Back

It is a reduction.

Front

If a dilation has a scale factor of 2, what type of transformation is it?

Back

It is an enlargement.

Front

Can a dilation be both an enlargement and a reduction?

Back

Yes, a dilation can be both depending on the scale factor.

Front

What are the coordinates of point C' if point C(6, -3) is dilated by a scale factor of 1/2?

Back

C' will be (3, -1.5).

Front

What is the effect of a negative scale factor in a dilation?

Back

A negative scale factor reflects the figure across the origin and changes its size.

Front

What is the algebraic notation for a dilation with a scale factor of 1/3?

Back

(x, y) goes to (1/3x, 1/3y).