IXL | Scale drawings: find the scale factor or a missing side | 7th grade math

or

Quadrilateral

L

is a scaled copy of quadrilateral

K

.

What scale factor takes quadrilateral

K

to quadrilateral

L

?

ref_doc_title.

or

Learn with an example

question

Square

B

is a scaled copy of square

A

.

What scale factor takes square

A

to square

B

?

key idea

A scaled copy of a figure has the same shape as the figure but is a different size.

The angle measures of a scaled copy are equal to the corresponding angle measures of the figure.
The side lengths of a scaled copy can be found by multiplying the corresponding side lengths in the figure by the same number. This number is called the scale
factor.

solution

To find the scale factor from square

A

to square

B

,

first identify a pair of corresponding sides.

You know that 6 times the scale factor is equal to 3. Write and solve an equation for the scale factor,

s

.

6

s

=

3

6

s

6

=

Divide both sides by 6

3

6

Divide both sides by 6

s

=

Simplify

1

2

Simplify

So, the scale factor is

1

2

.

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AA.12Solve one-step multiplication and division equations with decimals and fractions

N.1Add, subtract, multiply, or divide two fractions

J.1Add, subtract, multiply, or divide two decimals