Q. In the adjoining figure, it is given that PQ=PR, MR=QN and ML||PN. Prove that MN and QL bisect each other.

Q. In the adjoining figure, it is given that PQ=PR, MR=QN and ML||PN. Prove that MN and QL bisect each other.


Soln:
<PQL = <MLR                                   Being corresponding angles.
ML = MR                                          Being sides of an isosceles triangles.
MN and QL bisects each other       The straight lines that join the ends of two equal and parallel line                                                                                 segments towards the opposite sides bisects each other.