Dilations 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 scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

If the scale factor is greater than 1, what type of dilation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of dilation occurs?

Back

A reduction occurs.

Front

How do you calculate the image of a point after dilation?

Back

Multiply the coordinates of the point by the scale factor.

Front

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

Back

(6, 9) - calculated by multiplying each coordinate by 3.

Front

What is the image of point (4, 5) after a dilation with a scale factor of 1/2?

Back

(2, 2.5) - calculated by multiplying each coordinate by 1/2.

Front

What is the coordinate notation for a dilation with a scale factor of 2?

Back

(x, y) -> (2x, 2y) - each coordinate is multiplied by 2.

Front

What is the coordinate notation for a dilation with a scale factor of 1/3?

Back

(x, y) -> (1/3 x, 1/3 y) - each coordinate is multiplied by 1/3.

Front

What happens to the distances between points during a dilation?

Back

The distances between points are multiplied by the scale factor.