1. 7/1/20163.2: Properties of Quadrilaterals Objectives: a. Define quadrilateral, parallelogram, rhombus, rectangle, square and trapezoid. b. Identify the properties of quadrilaterals and relationships between properties.

2. 7/1/20163.2: Properties of Quadrilaterals Quadrilateral A polygon is a quadrilateral iff it has exactly 4 sides.

3. 7/1/20163.2: Properties of Quadrilaterals Trapezoid A quadrilateral is a trapezoid iff it has exactly one pair of parallel sides.

4. 7/1/20163.2: Properties of Quadrilaterals Isosceles Trapezoid A trapezoid is isosceles iff the non parallel sides (legs) are congruent.

5. 7/1/20163.2: Properties of Quadrilaterals Parallelogram A quadrilateral is a parallelogram iff both pair of opposite sides are parallel.

6. 7/1/20163.2: Properties of Quadrilaterals Rhombus A quadrilateral is a rhombus iff it has 4 congruent sides.

7. 7/1/20163.2: Properties of Quadrilaterals Rectangle A quadrilateral is a rectangle iff it has 4 right angles.

8. 7/1/20163.2: Properties of Quadrilaterals Square A quadrilateral is a square iff it has 4 congruent angles and 4 congruent sides.

9. 7/1/20163.2: Properties of Quadrilaterals Kite A quadrilateral is a kite iff it has 2 distinct pairs of congruent and adjacent sides.

10. 7/1/20163.2: Properties of Quadrilaterals Properties of a Parallelogram Theorem If a quadrilateral is a parallelogram, then: a. Both pairs of opposite angles are congruent. b. Both pairs of opposite sides are congruent. c. Diagonals bisect each other. d. Consecutive angles are supplementary.

11. 7/1/20163.2: Properties of Quadrilaterals Properties of a Rhombus Theorem If a quadrilateral is a rhombus, then: a. It is a parallelogram. b. Its diagonals are perpendicular.

12. 7/1/20163.2: Properties of Quadrilaterals Properties of a Rectangle Theorem If a quadrilateral is a rectangle, then: a. It is a parallelogram. b. Its diagonals are congruent.

13. Which of the following is NOT a property of all rectangles? A) diagonals are perpendicular B) diagonals are congruent C) consecutive sides are perpendicular D) consecutive angles are congruent E) consecutive angles are supplementary 7/1/20163.2: Properties of Quadrilaterals

14. Which of the following is a property of squares, but not rhombi? A) Diagonals are perpendicular B) Diagonals are congruent C) Consecutive sides are congruent D) Consecutive angles are supplementary E) Opposite angles are congruent 7/1/20163.2: Properties of Quadrilaterals

15. 7/1/20163.2: Properties of Quadrilaterals Properties of a Square Theorem If a quadrilateral is a square, then: a. It is a parallelogram, a rhombus, a rectangle and a kite. b. Its diagonals are perpendicular, congruent and they bisect each other.

16. 7/1/20163.2: Properties of Quadrilaterals Quadrilaterals quadrilaterals trapezoids parallelograms kites

17. 7/1/20163.2: Properties of Quadrilaterals Parallelograms rhombi rectangles squares parallelograms

18. 7/1/20163.2: Properties of Quadrilaterals In parallelogram ABCD, m ∠ A= 48°. What are m ∠ B, m ∠ C and m ∠ D?

19. To which family of quadrilaterals does a rectangle necessarily belong? A) kites B) parallelograms C) rhombi D) squares 7/1/20163.2: Properties of Quadrilaterals

20. 7/1/20163.2: Properties of Quadrilaterals Assignment pages 152-153, # 9-41 (all).