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, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

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

Back

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

Front

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

Back

A scale factor greater than 1 enlarges the figure.

Front

What is the effect of a scale factor between 0 and 1 on a figure?

Back

A scale factor between 0 and 1 reduces the figure.

Front

What is the formula for the scale factor?

Back

The formula for the scale factor is scale factor = new length / old length.

Front

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

Back

The new coordinates will be (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.

Front

What is the relationship between the original figure and its image after dilation?

Back

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

Front

How does a reflection transformation differ from a dilation?

Back

A reflection transformation flips a figure over a line, while a dilation changes its size.