Prove that every line segment has one and only one mid-point.

Prove that the line segments joints joining the mid-points of the adjacent sides of a quadrilateral from a parallelogram.

A line segments has two end points.

Prove that the line segments joining the mid-points of the sides of a triangle from four triangles, each of which is similar to the original triangle.

Using vector method, prove that the line segments joining the mid-points of the adjacent sides of a quadrilateral taken in order form a parallelogram.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segment joining the mid-point of the hypotenuse of a right triangle to its opposite vertex is half of the hypotenuse.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

In a right triangle,Prove that the line-segment joining the mid-point of the hypotenuse to the opposite vertex is half the hypotenuse