IXL - Properties of parallelograms (Geometry practice)

or

Find the value of

s

in parallelogram

T

U

V

W

.

2

s

s

+

21

V

W

T

U

s

=

ref_doc_title.

or

Learn with an example

question

Find the value of

s

in parallelogram

H

I

J

K

.

3

s

s

+

26

J

K

H

I

s

=

key idea

In a parallelogram, opposite sides are congruent.

solution

First, find the pair of opposite sides whose lengths are given in terms of

s

.

The length of

H

I

is

s

+

26

and the length of

J

K

is

3

s

.

3

s

s

+

26

J

K

H

I

Since opposite sides of a parallelogram are congruent, set

H

I

equal to

J

K

and solve for

s

.

H

I

=

J

K

s

+

26

=

Plug in

H

I

=

s

+

26

and

J

K

=

3

s

3

s

Plug in

H

I

=

s

+

26

and

J

K

=

3

s

26

=

Subtract

s

from both sides

2

s

Subtract

s

from both sides

13

=

Divide both sides by 2

s

Divide both sides by 2

So,

s

=

13

.

Looking for more? Try these:

Lesson: Properties of parallelograms

or

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Not feeling ready yet? These can help:

O.2Classify quadrilaterals I

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C.4Find measures of complementary, supplementary, vertical, and adjacent angles

Lesson: Properties of parallelograms