Quadrilaterals

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

Geogebra Activity

Quadrilateral Chart

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

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

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

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

Quadrilateral Chart

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