1. Properties of Parallelograms
Chapter 6 Section 6.2
Properties of Parallelograms

3. Some Properties of Parallelograms
Definition
Definition Parallelogram
A parallelogram is quadrilateral with both pairs of
opposite sides parallel

4. Some Properties of Parallelograms

5. Some Properties of Parallelograms

6. Some Properties of Parallelograms
Theorem
Theorem 6.2
If a quadrilateral is a parallelogram, then both pairs
of opposite sides are congruent

7. W  Y and X  Z Some Properties of Parallelograms Theorem
If a quadrilateral is a parallelogram, then both pairs
of opposite angles are congruent
W  Y and X  Z

8. mW + mX = 180 mX + mY = 180 mY + mZ = 180 mZ + mW = 180
Some Properties of Parallelograms
Theorem
Theorem 6.4
If a quadrilateral is a parallelogram, then consecutive
angles are supplementary
mW + mX = 180
mX + mY = 180
mY + mZ = 180
mZ + mW = 180

9. KJGH with diagonals Some Properties of Parallelograms Theorem
If a quadrilateral is a parallelogram, then its diagonals
bisect each other
KJGH with diagonals

10. Some Properties of Parallelograms

11. Some Properties of Parallelograms

12. Some Properties of Parallelograms
Opposite sides are

13. Consecutive angles are
Some Properties of Parallelograms
Opposite angles are
Consecutive angles are

14. Some Properties of Parallelograms
Diagonals each other

15. Applications of Parallelogram Properties

16. Applications of Parallelogram Properties