Math 8: Unit 2 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 does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

What is the result of a dilation with a scale factor of 1?

Back

The figure remains congruent to the original figure.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

Each dimension of the figure is multiplied by 2, resulting in an enlarged figure.

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

How do you determine the scale factor of a dilation?

Back

The scale factor is determined by comparing the lengths of corresponding sides of the original and dilated figures.

Front

What happens to the area of a figure when it is dilated by a scale factor of k?

Back

The area of the figure is multiplied by k², where k is the scale factor.

Front

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

Back

A negative scale factor results in a reflection of the figure across the center of dilation.

Front

What is the center of dilation?

Back

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