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Complex 
Convex 
Concave Quadrilateral
cpmplex quadrilateral
convex quadrilateral
concave quadrilateral
Related websites for Quadrilaterals

Quadrilateral Shape Game  This game from Sheppard Software reviews the properties of quadrilaterals.

Polygons by Math Cats You're about to enter the Polygon Playground!


venn diagram of quadrilaterals
kite
This Venn diagram helps to visualize the relationships among the different Quadrilaterals. 

Quadrilaterals can be separated into the following sub-groups.


Squares have all the properties of a quadrilateral, a rhombus, a parallelogram, and a rectangle.

trapezoid is a quadrilateral based on its four sides, but has only one pair of parallel sides which eliminates it from being a parallelogram.

kite is a quadrilateral, but not a parallelogram because the opposite sides are not parallel or congruent.

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video tutorial quadrilaterals
square

Quadrilateral Shapes

Parallelogram
Rectangle
Rhombus


Square
Trapezoid


What is a Quadrilateral? Let's look at some common examples.


• Four Sided
• Closed figure
• Four vertices ( also known as corners)
• Interior angles add up to 360◦
• Straight sides, no curves
picture of quadrilateral
parallelogram
rectangle
picture of trapezoid
a rhombus
akite
Kite

Picture of Quadrilateral

Property of Quadrilateral

​​What is a quadrilateral? The key to a quadrilateral is found in it's name, " Quad" meaning four and " lateral" meaning side. So a quadrilateral is a four sided polygon. In addition a quadrilateral can be convex or concave. A concave quadrilateral has has one reflex angle, or an angle greater than 180 degrees. The reflex angle creates a cavity or a cave, which becomes an easy method to remember a concave quadrilateral. An example of a concave quadrilateral is a dart. A “complex quadrilateral” or “self-intersecting” quadrilateral have non-adjacent sides that cross over.

Properties of a Simple Convex Quadrilateral

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common core standard
Common Core Standard
7.G.6