Download Honors Geometry Section 4.5 (1) Parallelograms

Geometry Section 6.2
Parallelograms
A parallelogram is a quadrilateral
with both pairs of opposite sides
parallel.
To name the parallelogram to the
right, we use the notation
You will need to know the
following properties of
parallelograms.
Theorem 6.2
In a parallelogram, opposite sides are
congruent
Theorem 6.3
In a parallelogram, opposite angles are
congruent
Theorem 6.4
In a parallelogram, consecutive angles
are supplementary.
Theorem 6.5
In a parallelogram, the diagonals
bisect each other.
1. Name all congruent segments.
NI  HE, NH  IE
NG  GE, GH  IG
1. Name all congruent angles.
GNH  GEI
GHN  GIE
GHE  GIN
GEH  GNI
NGI  HGE
NGH  EGI
NHE  NIE
INH  HEI
2
3 x  5  6 x  11
16  3 x
x  16
3
3
2(3 y  11)  8 y
6 y  22  8 y
22  2 y
y  11
4
3 z  5  6 z  11  180
9 z  6  180
9 z  186
z  20. 6
5
6 w  5  13w  11
16  7 w
w  16
7