Math 8: Unit 2 Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, either enlarging or reducing it.

Front

What does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

The new point is (kx, ky).

Front

What is the scale factor if a figure is reduced to half its size?

Back

The scale factor is 1/2.

Front

How do you determine the scale factor from two corresponding points?

Back

Divide the distance of the dilated point by the distance of the original point.

Front

Is a dilation always centered at the origin?

Back

No, a dilation can be centered at any point in the plane.

Front

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

Back

The angles remain the same during a dilation.

Front

If a figure is dilated by a scale factor of -2, what happens?

Back

The figure is enlarged by a factor of 2 and reflected across the center of dilation.

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains unchanged.