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 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 is it?

Back

Enlargement.

Front

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

Back

Reduction.

Front

How do you find the coordinates of a point after dilation?

Back

Multiply each coordinate of the original point by the scale factor.

Front

What are the coordinates of point A(3, 6) after a dilation with a scale factor of 2?

Back

(6, 12).

Front

What is the scale factor if point A(8, 12) is dilated to point A'(2, 3)?

Back

1/4.

Front

What is the image of point B(4, 9) under a dilation with a scale factor of 2?

Back

B'(8, 18).

Front

What happens to the shape of a figure during a dilation?

Back

The shape remains the same, but the size changes.

Front

What is the center of dilation?

Back

The fixed point in a dilation from which all points are expanded or contracted.