1. Classifying Quadrilaterals

2. Definition Quadrilateral
closed (two-dimensional) figure with four sides that are line segments
Classified by : # of parallel sides
# of congruent sides
sum of angles measure 360 degrees

3. Quadrilateral Family parallelogram rectangle trapezoid square rhombus
kite

4. Property of Quadrilaterals
The sum of all the angles equals 360º degrees.
90º
90º
90º
90º
90º +
90º
90º
90º
360º

5. Property of Quadrilaterals
The sum of all the angles equals 360º degrees.
90º
90º
90º
90º
90º +
90º
90º
90º
360º

6. Property of Quadrilaterals
The sum of all the angles equals 360º degrees.
70º
70º
70º
70º
110º
110º +
110º
110º
360º

7. Property of Quadrilaterals
The sum of all the angles equals 360º degrees.
65º
65º
115º
65º
115º
115º
65º
115º +
360º

8. Parallelogram 1. Opposite sides parallel.
2. Opposite angles are congruent.
3. 2 pairs of parallel sides
4. 2 pairs of congruent sides.

9. Rectangle 1. Parallelogram 2. 4 right angles – 90 degrees
3. Diagonals bisect each other
4. 2 pairs of parallel sides.
5. 2 pairs of congruent sides

10. Square 1. Special rectangle and rhombus 2. 4 congruent sides
3. 4 congruent (right) angles
4. 2 pairs of parallel lines

11. Rhombus 1. Parallelogram 2. 4 Congruent sides
3. 2 pairs of parallel sides

12. Trapezoid
1. One pair of parallel sides (bases) and one pair of non-parallel sides (legs)
2. May have 2 90 degree angles or no 90 degree angles.

13. Kite 1. 2 pairs of adjacent congruent sides
2. One pair of opposite angles is congruent

15. Assignment
Page #1-23 omit #22 (Green Book)