1. Parallelograms – Part 1 Geometry Chapter 6 A BowerPoint Presentation

2. Definition of parallelogram A quadrilateral is a parallelogram IF and ONLY IF both pairs of opposite sides are parallel

3. Definition of parallelogram ABCD AB DC and AD BC

4. Definition of parallelogram ABCD AB DC and AD BC

5. If, then opp sides If ABCD AB DC and AD BC

6. If, then opp sides If ABCD AB DC and AD BC

7. If, then opp sides If ABCD AB DC and AD BC

8. If, then opp s If ABCD A C and B D

9. If, then opp s If ABCD A C and B D

10. If, then opp s If ABCD A C and B D

11. If, then diagonals bisect each other If ABCD AM MC and BM MD

12. If, then diagonals bisect each other If ABCD AM MC and BM MD

13. If, then diagonals bisect each other If ABCD AM MC and BM MD

14. Same-side interior angles Do you see any same-side interior angles in this parallelogram? What do you know about same-side interior angles and parallel lines?

15. If, then consecutive s are supps If ABCD A + B = 180 ; B + C = 180 C + D = 180 ; D + A = 180