Question

show that the line segment which joins the midpoint of the oblique sides of a trapezium is parallel to the parallel sides

Answer 1

If I have a trapezoid with two sides parallel, and a line going through the midpoints of the other two sides, how do I prove that this line is also parallel to the two parallel sides of the trapezoid?

Answer 2

Answer:

We can prove this by mid-point theorem,basic proportionality theorem,etc.

Given is the area theorem.