Dilations and Scale Factor

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 center of dilation and a scale factor.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller the figure will be after the dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

If the scale factor is 1/2, what happens to the size of the figure?

Back

The figure is reduced to half its original size.

Front

What is the center of dilation?

Back

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

Front

How do you calculate the coordinates of a point after dilation?

Back

To find the new coordinates after dilation, multiply the original coordinates by the scale factor.

Front

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

Back

The angles of a figure remain unchanged during a dilation.

Front

What is the relationship between similar figures and dilations?

Back

Dilations create similar figures, meaning they have the same shape but different sizes.

Front

If triangle ABC is dilated by a scale factor of 3, what happens to the lengths of its sides?

Back

The lengths of the sides of triangle ABC will be tripled.

Front

What is the result of dilating a point at the origin by a scale factor of 1?

Back

The point remains unchanged; it stays at the origin.

Front

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

Back

A negative scale factor reflects the figure across the center of dilation and changes its size.