# What is a Parallelogram?

## Properties of a Parallelogram

- It is a 2D Plane shape
- Has Straight lines
- It is a Quadrilateral so it has 4 sides and is a closed figure.
- It has opposite sides are parallel.
- The Opposite sides are congruent ( equal)
- The opposite angles are congruent
- The consecutive angles are supplementary or add to 180 degrees
- The diagonals bisect one another
- The diagonals bisect angles creating opposite congruent triangles.

A trapezoid is not a parallelogram because by definition it only has one pair of parallel sides.

A circle is not a parallelogram because it has curved lines.

How about a triangle, nope it has three sides, not four.

A rectangle which is a parallelogram has two pairs of parallel sides and four congruent angles. A rhombus has four congruent sides but only the opposite angles are equal. If you combine the rectangle and the rhombus you get a square with four congruent sides and angles.

The Area is the base times the height:

Area = b × h

The height is at right angles to the base.

The Perimeter is the distance around the edges.

You can add all 4 sides or use.

2 times the (base + side length):

Perimeter = 2(b+s)

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