Question

prove that the line joining the midpoint of non parallel sides of trapezium is parallel to the parallel sides​

Answer 1

Answer:

Perhaps it is not surprising that all the segments (not only those that are actually depicted) going through the midpoint of the red line are halved by the same red point:

Taking any trapezium the two diagonals will be parallel to two of the colored lines above. That is, their midpoints will be equidistant to both of the black parallel lines...

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