Transcript Section 6.2

What is a Parallelogram?
 A quadrilateral with both pairs of opposite sides
parallel.
Symbol for
parallelogram:
Diagonals of parallelograms can serve as
___________
____________.
transversals So you then can use the following
angles:
AIA
SSI
AEA
Corr
SSE
Theorem 6-3
If a quadrilateral is a parallelogram, ________________
then its opposite
___________________.
sides are congruent
A
C
B
D
AB  ____
BD
CD and AC  ____
Theorem 6-4
If a quadrilateral is a parallelogram, then
__________________
its consecutive
________________________.
angles are supplementary
A
C
mA  _____
mB  180
mB  _____
mD  180
B
D
mD  _____
mC  180
mC  _____
mA  180
Theorem 6-5
If a quadrilateral is a parallelogram, ________________
then its opposite
____________________.
angles are congruent
A
C
B
D
B
D and C  ____
A  ____
Theorem 6-6
If a quadrilateral is a parallelogram, _________________
then its diagonals
________________.
bisect each other
A
B
M
C
The diagonals are:
____
AD and ____
BC
D
BM
So, AM  ____
DM and CM  ____
Theorem 6-7
If 3 or more parallel lines cut off congruent segments on
one transversal, ___________________________________
then they cut off congruent segments
___________________.
on every transversal
A
C
E
B
D
F
If LO = 5, PM = 7, QN = RN = 6, find:
7
5
a). AE = _____
b). JN = _____
c). IM = _____
6
d). DG =_____
6
12
e). FN = _____
g). PF = _____
21
h). AO = _____
20
A
B
f). QK = _____
12
C
E
D
G
F
I
H
L
M
O
P
J
K
N
Q
R
Homework: p. 364 #’s 14-20, 25-30