Section 3.2 – Properties of Quadrilaterals

Quadrilateral – a four-sided figure

Special Quadrilaterals

Trapezoid – a quadrilateral with exactly one pair of parallel sides

Parallelogram – a quadrilateral with 2 pairs of parallel sides

Rhombus – a quadrilateral with 4 congruent sides

Rectangle – a quadrilateral with 4 right angles

Square – a quadrilateral with 4 congruent sides (rhombus) and 4 right angles (rectangle)

Properties of Parallelograms

1. Opposite sides of a parallelogram are congruent.

2. Opposite angles of a parallelogram are congruent.

3. Diagonals of a parallelogram bisect each other.

4. Consecutive angles of a parallelogram are supplementary.

5. A rhombus is a parallelogram.

6. The diagonals of a rhombus are perpendicular.

7. A rectangle is a parallelogram.

8. The diagonals of a rectangle are congruent.

9. A square is a parallelogram, a rectangle, and a rhombus.

10. The diagonals of a square bisect each other, are congruent, and are perpendicular.