Enhanced Math 2 Properties of Special Quadrilaterals

Properties of Parallelograms

1. Opposite angles are congruent
2. Consecutive angles are supplemental
3. Diagonals bisect each other
4. Opposite sides are congruent

Definition of Parallelograms

A quadrilateral with two pairs of parallel sides

Properties of Rectangles

1) 2 sets of parallel sides

2) Opposite angles are congruent

3) Consecutive angles are supplemental

4) Diagonals bisect each other

5) Opposite Sides are congruent

6) Diagonals are congruent

Definition of Rectangles

A quadrilateral with four right angles

Definition of Rhombus

A quadrilateral with four congruent sides

Properties of Rhombus(7)

1) 2 sets of parallel sides

2) Opposite angles are congruent

3) Consecutive angles are supplemental

4) Diagonals bisect each other

5) Opposite sides are congruent

6) Diagonals are perpendicular

7) Diagonals bisect the angles of the rhombus

Properties of Squares

1. 2 sets of parallel lines
2. Opposite angles are congruent
3. Consecutive angles are supplemental
4. Diagonals bisect each other
5. Opposite sides are congruent
6. Diagonals are congruent
7. Diagonals are perpendicular
8. Diagonals bisect the angles of the square

Definition of Squares

A quadrilateral with four congruent sides

Definition of a Kite

A quadrilateral with two distinct pairs of consecutive congruent sides

Properties of Kites

1. Diagonals are perpendicular
2. Exactly one pair of opposite angles are congruent
3. One diagonal bisects the other
4. A diagonal bisects one pair of opposite angles

Properties of Trapezoids

1. Angles on each leg are supplemental

Definition of A Trapezoid

A quadrilateral with one pair of parallel sides

Properties if Isosceles

1. Angles on each leg are supplemental
2. Base angles are congruent
3. Diagonals are congruent

Definition of Isosceles Trapezoids

A trapezoid in which the non-parallel sides are congruent

Properties of Right Trapezoids

1. Angels on each leg are supplemental

Definition of Right Trapezoid

A trapezoid with two right angles