1. 6-2 Properties of Parallelograms
Geometry

2. Parallelogram B A >> Seg AB ll seg DC And Seg AD ll seg BC <
Parallelogram- a quadrilateral with both pairs of opposite side parallel. B A
>>
Seg AB ll seg DC
And
Seg AD ll seg BC
<
< C
>> D

3. Naming a Parallelogram
ABCD

4. Thm 6-2-1 seg PQ @ seg RS and seg SP @ seg QR Q < >> R P
If a quadrilateral is a ||’ogram, then its opposite sides .
seg seg RS and seg seg QR Q
<
>> R P
>>
< S

5. Ex. 1 ABCD is a parallelogram. AB=14cm. What is CD=?

6. Thm 6-2-2
If a quad is a ||’ogram then its opposite s are . Q )
R and S )) R (( P ( S

7. Ex. 2 JEPT is a ||’ogram. mT =80o, find J, E, & P.
mJ= 100
mE=80
mP=100 P

8. Thm 6-2-3
If a quad is a ||’ogram, then the consecutive angles are supplementary.
A B
C D

9. Ex. 3 WXYZ is a parallelogram. Find each measure. a.) YZ b.)m
Addl Ex. 2

10. Thm 6-2-4
If a quad is a ||’ogram then its diagonals bisect each other. Q P M R S

11. Ex. 4 ||’ogram QRST has diagonals seg QS and seg RT intersecting at W
Ex.4 ||’ogram QRST has diagonals seg QS and seg RT intersecting at W. Find WT and WS. Q 15 5 W R T 12
WT=12
WS=5 S

12. Ex. 5 In CDEF, DE=74 mm, DG = 31 mm, & m FCD = 42 . Find … a.) CF
b.) m EFC
c.) DF
Addl Ex. 1

13. Ex. 6 Three vertices of JKLM are J(3,-8),
K(-2,2) and L(2,6). Find the coordinates of vertex M.

14. Assignment