1. Parallelograms

2. A quadrilateral whose opposite sides are parallel.
Parallelogram
A quadrilateral whose opposite sides are parallel. C B A D

3. Properties of Parallelograms
Opposite sides are congruent. C B A D

4. Properties of Parallelograms
Opposite angles are congruent. C B A D

5. Properties of Parallelograms
Consecutive angles are supplementary C B A D

6. Properties of Parallelograms
Diagonals bisect each other C B A D

7. Properties of Parallelograms

8. Examples Draw HKLP. If HK = _______ and HP = ________ .
m<K = m<______ .
m<L + m<______ = 180.
If m<P = 65, then m<H = ____,m<K = ______ and m<L =____.
Draw in the diagonals. They intersect at M.
If HM = 5, then ML = ____
If KM = 7, then KP = ____
If HL = 15, then ML = ____
If m<HPK = 36, then
m<PKL = _____ . PL KL P
P or K
115°
65
115°
5 units
14 units
7.5 units
alternate interior angles are congruent.
36;

9. hOMEWORK