Which statements must be true?Select each correct answer.MN∥SUOM∥TUON=12SUST=2ONNO=NM

Answer: The correct options are  [tex]MN\parallel SU[/tex], [tex]MO\parallel TU[/tex] 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, [tex]MN\parallel SU[/tex] 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=STTherefore, [tex]MO\parallel TU[/tex] .Note: ON=12SU (not necessary),  NO=NM(not necessary)