What is a Parallelogram?

Study Notes

A parallelogram is a geometric shape with four sides, four corners, and four angles.
It has two sets of parallel lines, with either the same length for every side or two different side lengths (one length for each pair of parallel lines).
Parallelograms will never have more than two side lengths, or they wouldn't be considered a parallelogram.

Squares: four sides of equal length, four 90° angles (or four right angles), and two sets of parallel lines.
Rectangles: four sides, four corners, and four angles; all angles are right angles, but not all sides are equal length.
Rhombuses: four sides of equal length, but no right angles; angles are acute and obtuse, each directly across from each other.
Rhomboids: four sides, but not all sides are equal length; they have two acute and two obtuse angles opposite from each other.

Quadrilateral: four sides
Parallel sides: two sets of parallel lines opposite from one another
Bisecting lines: lines drawn diagonally from each corner of a parallelogram will create bisecting lines that intersect halfway from each line
Equal side length: at least one pair of sides of equal length
Congruent triangles: two congruent triangles are formed when a single line is drawn diagonally from one corner to another on a parallelogram
Opposite but equal angles: angles opposite from each other in a parallelogram will have the same measure
Opposite but equal lines: parallelograms always have sides with the same length (congruent) as the side opposite from them

The area of a parallelogram can be determined by multiplying the base by the height of the shape (A = B x H)
The area of a rectangle, for example, can be calculated by multiplying the base and height (e.g., A = 4cm x 2cm = 6)