Answer:
2. QR - TS and QT â•‘ RS
Step-by-step explanation:
Parallelogram is a rectangle with two pairs of parallel lines. The quadrilateral will be parallelogram if the two sides  pairs are parallel to each other. If QR and TS are parallel and QT and RS are parallel then the quadrilateral will be parallelogram.
The QR - TS and QT || RS ie. option (2) is correct in quadrilateral QRST.
It is given that the quadrilateral QRST, diagonals QS, and RT intersect at M.
It is required to find which statement would always prove quadrilateral QRST is a parallelogram.
It is defined as the four-sided polygon in geometry having four edges and four corners. It is a two-dimensional geometry.
We know the parallelogram is nothing but it is a rectangle geometry with two pairs of parallel sides, if, in the quadrilateral QRST, diagonals QS and RT intersect at M.
In the parallelogram, diagonals bisect each other which means that point M is a midpoint of the QS and RT.
Mathematically:
QM = SM and RM = TM
Also QT || RS.
Thus, the QR - TS and QT || RS ie. option (2) is correct in quadrilateral QRST.
Learn more about the quadrilateral here:
brainly.com/question/6321910
