Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, creating a similar figure.

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

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

Back

The figure remains unchanged; it retains its original size.

Front

What is the effect of a scale factor of 1/2 on a figure?

Back

A scale factor of 1/2 reduces the size of the figure to half of its original dimensions.

Front

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

Back

To find the new coordinates after dilation, multiply each coordinate of the original point by the scale factor.

Front

What is the relationship between the original figure and the dilated figure?

Back

The original figure and the dilated figure are similar, meaning they have the same shape but different sizes.

Front

What type of transformation is a dilation classified as?

Back

A dilation is classified as a similarity transformation.

Front

Can a dilation change the orientation of a figure?

Back

No, a dilation does not change the orientation of a figure; it only changes its size.

Front

What is the formula for dilating a point (x, y) with a scale factor k?

Back

The new coordinates after dilation are (kx, ky).

Front

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

Back

The angles of a figure remain unchanged during a dilation.