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Mathematics
Problem
In quadrilateral
P
Q
R
S
PQRS
P
QR
S
, the diagonals
P
R
PR
P
R
and
Q
S
QS
QS
meet at
O
O
O
. If
P
O
=
O
R
PO = OR
P
O
=
O
R
, which one of the following additional conditions is sufficient to guarantee that
P
Q
R
S
PQRS
P
QR
S
is a parallelogram? a)
P
R
=
Q
S
PR = QS
P
R
=
QS
b)
Q
O
=
O
S
QO = OS
QO
=
O
S
c)
P
Q
∥
R
S
PQ \parallel RS
P
Q
∥
R
S
d)
P
S
=
Q
R
PS = QR
P
S
=
QR
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