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 transformation occurs?

Back

An enlargement occurs.

Front

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

Back

A reduction occurs.

Front

How do you find 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 (3, 4) after a dilation with a scale factor of 2?

Back

(6, 8) - Multiply each coordinate by 2.

Front

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

Back

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

Front

What happens to the distances between points during a dilation?

Back

The distances are multiplied by the scale factor.

Front

What is the image of point (0, 0) after any dilation?

Back

(0, 0) - The origin remains unchanged.

Front

How do you determine if a dilation is an enlargement or reduction?

Back

Compare the scale factor to 1; if >1 it's an enlargement, if <1 it's a reduction.