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Mathematics
Problem
In quadrilateral
P
Q
R
S
PQRS
P
QR
S
, the diagonals meet at point
O
O
O
such that
O
P
=
O
R
OP = OR
O
P
=
O
R
. Which one of the following extra conditions will guarantee that
P
Q
R
S
PQRS
P
QR
S
is a parallelogram? a)
∠
P
+
∠
R
=
180
∘
\angle P + \angle R = 180^{\circ}
∠
P
+
∠
R
=
18
0
∘
b)
P
R
=
Q
S
PR = QS
P
R
=
QS
c)
O
Q
=
O
S
OQ = OS
O
Q
=
O
S
d)
P
Q
=
Q
R
PQ = QR
P
Q
=
QR
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