The correct options are , and ST=2ON .
Explanation:
Since, In triangle STU, M, O and N are mid points of line ST, SU and TU respectively.( given SM=MT, TN=NU and SO=OU)
By the mid point theorem which states that the line segment joining two midpoints of two sides of a triangle must be parallel to the third side of the given triangle. And, it is half of the third side.
Since MN is a line segment which is made by mid points M and N.
So, it must be parallel to the third side SU.
Therefore,
Similarly, OM is a line segment which is made after joining mid points O and M. So, it must be parallel to third side TU.
Now,ON is a line segment which is made after joining mid points O and N. So, it must be half of the third side ST.
Therefore, ON=ST/2⇒2ON=ST
Therefore, .
Note: ON=12SU (not necessary), NO=NM(not necessary)