Answer:
Step-by-step explanation:
Given that RS and TV bisect each other at point X
Join RT and VS
Now we have two triangles RXT and VXS with a common vertex X
Compare these two triangles
RS=XS (mid point since bisect)
TX=XV (mid point)
Angle RXT = Angle VXS (vertically opposite angles)
Hence by SAS postulate the two triangles are congruent
Corresponding angles would be equal
i.e. angle RTV = Angle TVS
Since alternate angles made by a transversal are equal
TR is parallel to SV