Answer:
We cannot determine whether the quadrilateral QRST is rectangle or not.
Step-by-step explanation:
A quadrilateral has four vertices. It may by square, rectangle, trapezium, parallelogram, rhombus, etc.
In quadrilateral QRST, QS and RT are diagonals of QRST.
[tex]QS=RT[/tex]
It is given that the diagonals are same.
The diagonals of square, rectangle, isosceles trapezoid are same. Therefore by given information we cannot say that the quadrilateral QRST is a rectangle.
The different quadrilaterals are shown in below figure and these quadrilaterals have congruent diagonals.
Therefore if the diagonals are same then the quadrilateral may or may not be rectangle.
