Question

2. ABCD is a quadrilateral in which AB || DC and AD II BC. A line MN, parallel to CD, is drawn
through the midpoint M of the side BC which meets AD at N. Prove that N is the midpoint of AD.
Also, prove that MN bisects the diagonal AC. please solve this question it's very important. please solve this with the diagram.​

Answer 1

Let the line SR to T so that CT is parallel to AS

DSR and CRT are similar to each other

DR = RC in which the R is the mid value

SR is touching the mid points of DA and DC so as per mid point theorem SR||AC

AC || PQ can be proven which will prove that PQRS is a parallelogram.