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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
               ABCD or           ADCB.

                             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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