Mathematics

Problem

In quadrilateral

PQRS

, the diagonals intersect at

T

. It is known that

PT = TR

and

\triangle PTQ \cong \triangle RTS

. Which of the following conclusions can be drawn, thereby proving that

PQRS

is a parallelogram? a)

PQ \parallel RS

PQ = RS

QT = TS

\angle PTQ = \angle RTS