Dilations Intro

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but not its shape.

Front

What does it mean if a dilation has a scale factor (SF) greater than 1?

Back

It indicates an enlargement of the figure.

Front

What does it mean if a dilation has a scale factor (SF) less than 1?

Back

It indicates a reduction of the figure.

Front

What is the center of dilation?

Back

The fixed point in a dilation from which all points are expanded or contracted.

Front

If a figure is dilated by a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged.

Front

What is the scale factor in a dilation?

Back

The ratio of the size of the image to the size of the original figure.

Front

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

Back

By comparing the scale factor: SF > 1 is enlargement, SF < 1 is reduction.

Front

What is an example of a reduction in dilation?

Back

A triangle with vertices at (0,0), (2,0), (0,2) dilated by a scale factor of 0.5 results in a smaller triangle.

Front

What is an example of an enlargement in dilation?

Back

A square with vertices at (1,1), (1,3), (3,3), (3,1) dilated by a scale factor of 2 results in a larger square.

Front

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

Back

The angles remain the same; only the size of the figure changes.