1. Quadrilaterals

2. Quadrilaterals… A quadrilateral is any four sided polygon.
Types of quadrilaterals:
Trapezoid
Parallelogram
Rhombus
Rectangle
Square
Chevron
Irregular quadrilateral

3. Geogebra Activity

4. Quadrilateral Chart

5. Parallelogram Properties
In order for a quadrilateral to be a parallelogram the following must be true:
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Diagonals bisect each other
Consecutive angles are supplementary

6. Rhombus Properties
In order for a parallelogram to be a rhombus the following must be true:
All the parallelogram properties are true
AND
All sides are congruent
Diagonals intersect at right angles

7. Rectangle Properties
In order for a parallelogram to be a rectangle the following must be true:
All the parallelogram properties are true
AND
All angles are right angles
Diagonals are congruent

8. Square Properties
In order for a parallelogram to be a square the following must be true:
All the parallelogram properties are true
AND
All sides are congruent
Diagonals intersect at right angles
All angles are right angles
Diagonals are congruent
**Note: A square is both a rhombus and a rectangle**
All rhombus properties are true
AND
All rectangle properties are true OR

9. Quadrilateral Chart

10. Trapezoid Characterisitcs
In order for a quadrilateral to be a trapezoid the following must be true:
Bases are parallel
Consecutive leg angles are supplementary
If the trapezoid is an isosceles trapezoid then:
Base angles are congruent
Legs are congruent
These are
the legs