   Quick Math Homework Help  Master the 7 pillars of school success  Complex
Convex   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!

Polygon Shape Names  Learn an easy method for memorizing the names of polygons. kite
This Venn diagram helps to visualize the relationships among the different Quadrilaterals.

Quadrilaterals can be separated into the following sub-groups.

• Trapezoids
• Parallelograms

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. Quadrilateral Shapes- A four sided polygon

Parallelogram
• Two parallel sides
• Opposite sides equal length
• Opposite angles equal
Rectangle
• 4 right angles
• Opposite sides are parallel and equal length
Rhombus
• Opposite angles are equal
• Sides equal length
• Opposite sides are parallel
• No right angles
• Diagonals intersect at right angles

Square
• 4 right angles
• 4 equal sides
Trapezoid
• Only one pair of opposite sides that are parallel
• Parallel sides are called bases
• Nonparallel sides are called legs

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      Kite
• Sides of a kite shape, that are next to each other (adjacent sides) are the same length on a kite.
• Angles that are opposite each other and between the two different length sides are congruent (equal).
• Diagonals of a kite are perpendicular to one another

​​What is a quadrilateral?

• The key to a quadrilateral is found in it's name, "Quad" meaning four and "lateral" meaning side.
• A quadrilateral is a four sided polygon. In addition a quadrilateral can be convex or concave.
• concave quadrilateral 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        Common Core Standard .  7.G.6