Performing transformations

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. It is used to enlarge or reduce figures in geometry.

Front

If a scale factor is greater than 1, what happens to the size of a figure?

Back

The figure is enlarged.

Front

If a scale factor is less than 1, what happens to the size of a figure?

Back

The figure is reduced or shrunk.

Front

What is the scale factor of an enlargement from figure C to figure A if the dimensions are multiplied by 3?

Back

3

Front

What is the scale factor of a reduction if the dimensions are multiplied by 1/2?

Back

1/2

Front

If the scale factor from figure A to figure B is 4, how many times larger is the area of B than the area of A?

Back

16 times larger (Area scales by the square of the scale factor).

Front

If a rectangle has a width of 18 in. and a length of 24 in., what is the new length if the width is enlarged to 54 in. using proportionality?

Back

72 in.

Front

What does it mean to perform a transformation in geometry?

Back

A transformation in geometry refers to changing the position, size, or shape of a figure.

Front

What is an enlargement in geometry?

Back

An enlargement is a transformation that increases the size of a figure by a scale factor greater than 1.

Front

What is a reduction in geometry?

Back

A reduction is a transformation that decreases the size of a figure by a scale factor less than 1.