Point M is the midpoint of line segments AC and BD. Prove that lines BC and AD are parallel.

By hypothesis, we know that the point M is the midpoint of the segments AC and BD.

So we get that:

1) AM = MC (M is the middle of the AU);

2) BM = MD (M – middle of BD);

3) since M is the middle of the segments AC and BD, the segments AC and BD intersect at one point.

Thus, we get a geometric figure – a rhombus, centered at point M.

And by the property of a rhombus, its opposite sides are parallel.

Therefore BC is parallel to AD and AB is parallel to CD.

Q.E.D.

Answer: Sun is parallel to AD.