1. Lesson 6-1: Parallelogram
Parallelograms
Lesson 6-1: Parallelogram

2. Lesson 6-1: Parallelogram
Definition:
A quadrilateral whose opposite sides are parallel. C B A D
Symbol:
a smaller version
of a parallelogram
Naming:
A parallelogram is named using all four vertices.
You can start from any one vertex, but you must continue in a clockwise or counterclockwise direction.
For example, the figure above can be either ABCD or ADCB.
Lesson 6-1: Parallelogram

3. Properties of ParallelogramB
Properties of Parallelogram P D C
1. Both pairs of opposite sides are congruent.
2. Both pairs of opposite angles are congruent.
3. Consecutive angles are supplementary.
4. Diagonals bisect each other but are not congruent
P is the midpoint of
Lesson 6-1: Parallelogram

4. Lesson 6-1: ParallelogramH K
Examples M P L
Draw HKLP.
HK = _______ and HP = ________ .
m<K = m<______ .
m<L + m<______ = 180.
If m<P = 65, then m<H = ____,m<K = ______ and m<L =____.
Draw the diagonals with their point of intersection labeled 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°
115°
65
5 units
14 units
7.5 units
36;
(Alternate interior angles are congruent.)
Lesson 6-1: Parallelogram