Dilations on the Coordinate Plane

Front

What is a dilation in the context of the coordinate plane?

Back

A dilation is a transformation that alters the size of a figure on the coordinate plane while maintaining its shape. It is defined by a center point and a scale factor.

Front

What does the scale factor in a dilation represent?

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

If triangle EFG is dilated by a scale factor of 1, what will happen to its vertices?

Back

The vertices of triangle EFG will remain unchanged; they will map to the same points on the coordinate plane.

Front

How do you find the scale factor of a dilation?

Back

To find the scale factor, choose corresponding sides or vertices of the original figure and the dilated figure, and set up a ratio of the lengths of the image over the pre-image.

Front

What is the ordered pair of point E' if E(3,3) is dilated by a scale factor of 1?

Back

E' will be located at (3,3).

Front

If the scale factor is more than one, what effect does it have on the figure?

Back

It enlarges the figure.

Front

If the scale factor is less than one, what effect does it have on the figure?

Back

It reduces the figure.

Front

What is the ordered pair of A' if rectangle ABCD with A(-2, 1) is dilated by a scale factor of 2?

Back

A' will be located at (-4, 2).

Front

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

Back

The shape of the figure remains the same; only its size changes.

Front

What is the center of dilation?

Back

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