Transcript 6.2 Properties of Parallelograms

6.2 Properties of
Parallelograms
Textbook pg 310
Definition: A Parallelogram is a
quadrilateral where BOTH pairs
of opposite sides are parallel
• In
PQRS, PQ
SR and QR
P
S
PS
Q
R
Theorem: If a quadrilateral is a
parallelogram, then its opposite
sides are congruent
• In
PQRS, PQ = SR and QR = PS
P
S
Q
R
Theorem: If a quadrilateral is a
parallelogram, then its opposite
angles are congruent
• In
PQRS, <P = <R and <Q = <S
P
S
Q
R
Theorem: If a quadrilateral is a
parallelogram, then its consecutive
angles are supplementary
• In
PQRS, xo + yo = 180o
180o
P
Q
xo
yo
180o
180o
yo
xo
R
S
180o
Theorem: If a quadrilateral is a
parallelogram, then diagonals
bisect each other
• In
PQRS, QM = MS and PM =180MR
o
P
Q
180o
M
180o
R
S
180o
Practice
• Assignment #
• Textbook page 313
• Problems 1-12 all, 13-33 odd, 44 – 53 all