Dilations and Scale Factor Practice

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 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 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 dilation has a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged in size and shape.

Front

How do you find the image of a point under a dilation?

Back

To find the image of a point under a dilation, multiply the coordinates of the point by the scale factor.

Front

What is the image of the point (4, 2) under a dilation with a scale factor of 3?

Back

The image is (12, 6) because (4*3, 2*3) = (12, 6).

Front

What is the coordinate of the image of the point B (-10, -6) under a dilation with center at the origin and scale factor k = 1/2?

Back

The image is (-5, -3) because (-10*1/2, -6*1/2) = (-5, -3).

Front

What type of dilation is represented by a scale factor less than 1?

Back

A dilation with a scale factor less than 1 is classified as a reduction.

Front

What type of dilation is represented by a scale factor greater than 1?

Back

A dilation with a scale factor greater than 1 is classified as an enlargement.

Front

If triangle ABC is dilated to triangle A'B'C' with a scale factor of 2, what can be said about the lengths of the sides?

Back

The lengths of the sides of triangle A'B'C' are twice the lengths of the corresponding sides of triangle ABC.

Front

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

Back

The scale factor is 1/2.