1.2 Dilations/Simliar Figures

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using 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 the scale factor is ½, what happens to the size of the figure?

Back

The figure is reduced to half its original size.

Front

What is the effect of a scale factor of 2 on a figure?

Back

The figure is enlarged to twice its original size.

Front

How do you determine the new position of a point after dilation?

Back

To find the new position, multiply the distance from the center of dilation by the scale factor.

Front

If point A is 4 units away from point P and the scale factor is 2, how far is point A' from point P after dilation?

Back

Point A' will be 8 units away from point P after dilation.

Front

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

Back

The angles of the figure remain the same during a dilation.

Front

Does a dilation change the shape of the figure?

Back

No, a dilation does not change the shape; it only changes the size.

Front

If a figure is dilated with a scale factor of 1, what is the result?

Back

The figure remains the same size and shape.

Front

What is the center of dilation?

Back

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