1. Unit 7: Quadrilaterials
6-1, 6-2 Classifying Quads, Properties of parallelograms

2. Warm Up 4/16/13
Be sure you have copied down the definitions from your homework.
If not, take this time to do so as we won’t have time during class
Review your definitions

3. Unit 7 Essential Questions
How can I use the relationships of sides, angles, and diagonals of parallelograms to solve problems?
How can I use properties of all quadrilaterals to solve problems?

4. Bonus Question
See website

5. Agenda Warm Up 6-1: Classifying Quadrilaterals
6-2: Properties of Parallelograms
Classwork/Homework

6. Today’s Objective
Students will be able to define and classify special types of quadrilaterals.
Students will be able to use relationships among sides and angles of parallelograms
Students will be able to use relationships involving diagonals of parallelograms or transversals.

7. 6-1: Classifying Quadrilaterals
Polygon with 4 sides.
Name it going around it. EX: ABCD or BCDA B A D C

8. Parallelogram
Definition: A Parallelogram is a quadrilateral with two pairs of parallel sides (Opposite sides are parallel)
Symbol:

9. Rhombus
Definition: A Rhombus is a parallelogram with four congruent sides.

10. Rectangle
Definition: A Rectangle is a parallelogram with four right angles

11. Square
Definition: A Square is a parallelogram with four congruent sides and four right angles

12. Kite
Definition: A Kite is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent

13. Trapezoid
Definition: A Trapezoid is a quadrilateral with exactly one pair of parallel sides.

14. Isosceles Trapezoid
Definition: An Isosceles Trapezoid is a trapezoid whose nonparallel opposite sides are congruent

15. 6-2: Properties of Parallelograms
Review: A Parallelogram is a quadrilateral with two pairs of parallel sides (Opposite sides are parallel)
Symbol:

16. Other Properties of a
1. Opposite sides are

17. 2. Opposite ∠ ‘s are ∠

18. Same side interior angles
3. Consecutive ∠ ‘s are supplementary (Sum to 180) a+b = 180 b+d=180 a+c=180 c+d=180
Same side interior angles

19. 4. Diagonals bisect each other (cut in half)

20. Example 1: ABCD is a
AB = 5x+3, DC=4x+15. Find x

21. Ex 2: m<ADC = 68
Find m<DCB Find m<CBA Find m<BAD

22. Ex.3: AE=2x+5, EC=4x-9, Find AC

23. Ex. 4: DB=8x-4, EB=2x, Find DE

24. Homework
Left side of page 2 of packet For extra practice, attempt proofs on right side