Dilations Review

Front

What is a dilation in geometry?

Back

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 one indicate?

Back

An enlargement of the figure.

Front

What does a scale factor less than one indicate?

Back

A reduction of the figure.

Front

How do you dilate a point (x, y) by a scale factor of k?

Back

Multiply both coordinates by k: (kx, ky).

Front

What is the rule for a dilation with a scale factor of 1/2?

Back

(1/2x, 1/2y).

Front

If a point B is at (3, 4), what is its image after a dilation by a scale factor of 1/2?

Back

(1.5, 2).

Front

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

Back

(6, -9).

Front

What is the effect of a scale factor of 1 on a figure?

Back

The image will be the same as the pre-image.

Front

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

Back

The area is multiplied by 4 (2^2).

Front

What is the relationship between the scale factor and the perimeter of a figure after dilation?

Back

The perimeter is multiplied by the scale factor.