Dilations

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor and a center of dilation.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that scales, or multiplies, the coordinates of a figure during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

How do you perform a dilation with a scale factor of 3?

Back

To perform a dilation with a scale factor of 3, multiply each coordinate of the original figure by 3.

Front

What are the new coordinates of point A(3,3) after dilation by a scale factor of 3?

Back

A'(9,9) - Multiply both x and y coordinates by 3.

Front

What are the new coordinates of point B(6,6) after dilation by a scale factor of 3?

Back

B'(18,18) - Multiply both x and y coordinates by 3.

Front

What are the new coordinates of point C(3,9) after dilation by a scale factor of 3?

Back

C'(9,27) - Multiply both x and y coordinates by 3.

Front

What is the algebraic notation for a dilation with a scale factor of 3?

Back

(x, y) goes to (3x, 3y) - Each coordinate is multiplied by the scale factor.

Front

What mathematical operation is used in dilation?

Back

Multiplication - The coordinates are multiplied by the scale factor.

Front

What happens to the size of a shape during dilation?

Back

The size of the shape changes according to the scale factor; it can either enlarge or reduce.

Front

If the scale factor is less than 1, what happens to the figure?

Back

The figure is reduced in size.