A Parallelogram is a flat shape with opposite sides parallel and equal in length.
| and || show equal sides
|Opposite sides are parallel|
Opposite sides are equal in length
|Opposite angles are equal (angles "a" are the same, and angles "b" are the same)|
|Angles "a" and "b" add up to 180°, so they are supplementary angles.|
Play with a Parallelogram:
A parallelogram where all angles are right angles is a rectangle!
The Area is the base times the height:
Area = b × h
(h is at right angles to b)
Example: A parallelogram has a base of 6 m and is 3 m high, what is its Area?
Area = 6 m × 3 m = 18 m2
The Perimeter is the distance around the edges.
The Perimeter is 2 times the (base + side length):
Perimeter = 2(b+s)
Example: A parallelogram has a base of 12 cm and a side length of 6 cm, what is its Perimeter?
Perimeter = 2 × (12 cm + 6 cm) = 2 × 18 cm = 36 cm
Diagonals of a Parallelogram
The diagonals of a parallelogram bisect each other.
In other words the diagonals intersect each other at the half-way point.
Inside Any Quadrilateral
And there is a parallelogram in any quadrilateral.