# Lesson 6-1 Parallelograms.ppt

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Lesson 6-1

Parallelograms

Lesson 6-1: Parallelogram   1
Parallelogram
Definition:     A quadrilateral whose opposite sides are parallel.
B               C

Symbol:       a smaller version
of a parallelogram                A                    D

Naming: l A parallelogram is named using all four vertices.
l You can start from any one vertex, but you must
continue in a clockwise or counterclockwise direction.
l For example, the figure above can be either

Lesson 6-1: Parallelogram       2
A               B

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           3
H                         K

M
Examples                               P                           L
1.    Given       HKLP.
2.             PL                  KL
HK = _______ and HP = ________ .
3.                 P
m<K = m<______ .
4.               P or K
m<L + m<______ = 180°.
5.    If m<P = 65°, then m<H = 115°              65°
____,m<K = ______ and m<L =____.   115°
6.    Draw the diagonals with their point of intersection labeled M.
7.                          5 units .
If HM = 5, then ML = ____
8.                         14 units .
If KM = 7, then KP = ____
9.    If HL = 15, then ML = 7.5 units .
____
10.   If m<HPK = 36°, then m<PKL = _____ .36°;
(Alternate interior angles are
Lesson congruent.)
6-1: Parallelogram               4

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