1. 6-3 Proving a Quad is a parallelogram
Day 2 Unit 7
6-3 Proving a Quad is a parallelogram

2. Agenda
Warm-Up
Homework
6-3 Notes
Class Work

3. Warm-Up
In isosceles ABC, <A is the vertex angle. If m<A=2x+6 and m<C=5x-3, find m<B.
DEFG is a parallelogram. IF m<G=135, and m<F=2x. Find m<F
DEFG is a parallelogram. If EG= 4x+8. H is the midpoint of EG. EH= x Find EH.

4. HW Check

6. 6-3 Proving a Quad is a Parallelogram.
5 Ways to Prove a Quad is a Parallelogram: 1. By Definition: If both pairs of opp. sides are ll, then the Quad is a

7. 2. Theorem 6-5: If the diagonals bisect each other, then the Quad is a

8. 3. Theorem 6-6: If one pair of opp
3. Theorem 6-6: If one pair of opp. sides are BOTH ll and , then the Quad is a

9. 4. Theorem 6-7: If both pairs of opp. sides are then the Quad is a

10. 5. Theorem 6-8: If both pairs of opp angles are then the Quad is a

11. Examples: Can you conclude that the Quadrilateral is a ? If so why?1.
Yes, One pair of opposite sides are parallel and congruent

12.
Yes, both pairs of opp sides are parallel due to congruent alternate interior angles.
No!

13.
No!
Yes, opp angles are congruent

14. 6. 7. No! only one pair of parallel sides.
No! only one pair of parallel sides.
Yes, Diagonals bisect each other.

15. A B D C Given ABCD is a parallelogram Property of parallelograms
Statement
Reasons
Given
ABCD is a parallelogram
Property of parallelograms

16. Homework
Worksheet

17. Homework Check

18. Class Work Answers