PROPERTIES OF QUADRILATERALS

Parallelogram

Definition: A quadrilateral in which both pairs of opposite sides are parallel
Properties:
1. Both pairs of opposite sides are parallel
2.Both pairs of opposite sides are congruent
3. Both pairs of opposite angles are congruent
4. The diagonals bisect each other
5. Any pair of consecutive angles are supplementary

Rectangle

Definition: A parallelogram in which at least one angle is a right angle
Properties:
1. Five properties of Parallelograms
2. All angles are right angles
3. The diagonals are congruent

Rhombus

Definition: A parallelogram in which at least two consecutive sides are congruent
Properties:
1. Five properties of Parallelograms
2. All sides are congruent
3. The diagonals bisect the angles
4. The diagonals are perpendicular
5. The diagonals divide the Quadrilaterall into four congruent right triangles

Square

Definition: A parallelogram that is both a rectangle and a rhombus
Properties:
1. All properties of Parallelograms
2. All properties of a Rectangle
3. All properties of a Rhombus

Kite

Definition: A quadrilateral in which two distinct pairs of consecutive sides are congruent
Properties:
1. Two distinct pairs of consecutive sides are congruent
2. The diagonals are perpendicular
3. One diagonal is the perpendicular bisector of the other
4. One of the diagonals bisects a pair of opposite angles
5. One pair of opposite angles are congruent

Trapezoid

Definition: A quadrilateral with one pair of parallel sides.
Property:
The parallel sides are called the bases of the quadrilateral
The non-parallel sides are called the legs of the quadrilateral
The bases are parallel

Isosceles Trapezoid

• Definition: A quadrilateral in which the non-parallel sides (legs) are congruent.
Properties:
1. The bases are parallel
2. The legs are congruent
3. The lower base angles are congruent
4. The upper base angles are congruent
5. The diagonals are congruent
6. Any lower base angle is supplementary to any upper base angle