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Related websites for Quadrilaterals
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.
A trapezoid is a quadrilateral based on its four sides, but has only one pair of parallel sides which eliminates it from being a parallelogram.
A kite is a quadrilateral, but not a parallelogram because the opposite sides are not parallel or congruent.
Quadrilateral Shapes- A four sided polygon
- Opposite sides equal length
- Opposite sides are parallel and equal length
- Opposite angles are equal
- Opposite sides are parallel
- Diagonals intersect at right angles
- 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
- 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
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.
- A quadrilateral is a four sided polygon. In addition a quadrilateral can be convex or concave.
- A 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