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 a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?

Back

1/3

Front

Choose the correct scale factor that enlarges a figure to twice its size.

Back

2

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication

Front

Dilate Point B (3, 2) by a scale factor of 1/2. What are the new coordinates?

Back

(1.5, 1)

Front

Dilate Point B (2, -3) by a scale factor of 3. What are the new coordinates?

Back

(6, -9)

Front

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

Back

The shape remains the same, but the size changes.

Front

If a figure is dilated by a scale factor of 1, what happens to the figure?

Back

The figure remains unchanged.

Front

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

Back

It enlarges the figure.