Scale Factor Flashcard

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used in dilations to determine how much a figure is enlarged or reduced.

Front

What happens to the volume of a figure when the height is changed by a scale factor of 2?

Back

The volume of the figure is multiplied by 2, resulting in a new volume that is twice the original.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, either enlarging or reducing it.

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 does doubling the length, width, or height of a rectangular prism affect its volume?

Back

Doubling any dimension of a rectangular prism results in the volume being multiplied by 8.

Front

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

Back

Multiplication is used with the scale factor in a dilation.

Front

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

Back

A scale factor of 1 means the figure remains the same size; there is no change.

Front

If a figure is dilated by a scale factor of 3, how does its area change?

Back

The area of the figure is multiplied by 9 (3 squared) when the scale factor is 3.

Front

What is the relationship between scale factor and similarity in geometry?

Back

Figures that are dilated by a scale factor are similar, meaning they have the same shape but different sizes.