Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same.

Front

True or False: Dilations only enlarge figures.

Back

False

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a dilation produces a congruent figure, what is the scale factor?

Back

1

Front

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

Back

Multiplication

Front

If a figure has a side length of 12 units and is dilated to 24 units, what is the scale factor?

Back

2

Front

True or False: A scale factor of 1/2 reduces a figure.

Back

True

Front

What happens to the dimensions of a figure when the scale factor is greater than 1?

Back

The figure is enlarged.

Front

What happens to the dimensions of a figure when the scale factor is less than 1?

Back

The figure is reduced.

Front

If a triangle has sides of lengths 3, 4, and 5, and is dilated by a scale factor of 3, what are the new side lengths?

Back

9, 12, and 15.