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The Properties of a Parallelogram
Definitions and formulas for the perimeter of a parallelogram, the area of a parallelogram, properties of the sides and angles of a parallelogram
Just scroll down or click on what you want and I'll scroll down for you!

 
perimeter of a parallelogram area of a parallelogram
properties of the sides
and angles of a parallelogram
other properties of the
angles of a parallelogram

The perimeter of a parallelogram:

parallelogram

To find the perimeter of a parallelogram, just add up all the lengths of the sides:

Perimeter = a + b + a + b
        =
2a + 2b

red line

The area of a parallelogram:

parallelogram

To find the area of a parallelogram, just multiply the base length (b) times the height (h):

Area = b x h

Yeah, that's the formula...  But let's check out where it comes from!

Let's cut off a piece and move it...

parallelogram

Now, it's a rectangle!
Area = length x width = b x

parallelogram

The sides and angles of a parallelogram:

parallelogram

Opposite sides of a parallelogram are the same length (congruent).

Opposite angles of a parallelogram are the same size/measure (congruent.)

Opposite sides of a parallelogram are parallel... Uh... You think that's where it got it's name?
 

Other properties of the angles of a parallelogram:

parallelogram

Adjacent sides (ones next to each other) of a parallelogram are supplementary.  This means that their measures add up to 180 degrees.

x degrees + y degrees = 180 degrees
 

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