Properties of Quadrilaterals

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Parallelogram:

• The opposite sides are parallel by definition

• The opposite sides are congruent

• The opposite angles are congruent

• The diagonals bisect each other

• Any pair of consecutive angles are supplementary

Rectangles

• All the properties of a parallelogram apply by definition

• All angles are right angles

• The diagonals are congruent

Kites

• Two disjoin pairs of consecutive sides are congruent by definition

• The diagonals are perpendicular

• One diagonal is the perpendicular bisector of the other

• One of the diagonals bisect a pair of opposite angles

• One pair of opposite angles are congruent

Rhombuses

• All the properties of a parallelogram apply be definitoin

• All the properties of a kite apply

• All sides are congruent-that is, a rhombus is equilateral

• The diagonals bisect the angles

• The diagonals are perpendicular bisects of each other

• The diagonals divide the rhombus into four congruent right triangles

Sqaures

• All the properties of a rectangle apply by definition

• All the properties of a rhombus apply by definition

• The diagonals form four isosceles right triangles

Isosceles Trapezoids

• The legs are congruent by definition

• The bases are parallel

• The lower base angles are congruent

• The upper base angles are congruent

• The diagonals are congruent

• Any lower base angle is supplementary to any upper base angle