Use the information provided to answer Part A through Part D.
One method that can be used to prove that the diagonals of a parallelogram bisect
each other is shown in the given partial proof.
S
ven: Quadrilateral PQRS is a parallelogram
ove:
PT= RT
ST= QT
1.
2.
7.
3.
4.
Statements
Quadrilateral PQRS is a
parallelogram
PQ || SR
PS || QR
ZPQS = ZRSQ
ZQPR ZSRP
?
5. ASRT AQPT
6.
PT=RT
ST=QT
Q
I
R
PT = RT
ST=QT
1. Given
2. Definition of
parallelogram
3.
4.
5.
Reasons
6.
2
?
Opposite sides of a
parallelogram are
congruent
?
Corresponding par
of congruent
triangles are
congruent
7. Definition of
congruent line
erop segments