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Prove that the line segment joining the ...

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.

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The line joining the mid points of the diagonals of a trapezium is parallel to each of the parallel sides and equal to half of their difference

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

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

Prove that the line segment joining the mid points of two sides of a triangle is parallel to its third side.

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

Show that the line segment which joins the midpooints of the oblique sides of a trapesium is parallel to the sides.

Examples: Prove that the segment joining the middle points of two non parallel sides od a trapezim is parallel to the parallel sides and half of their sum.

Prove that the line segment joining the middle points of two sides of a triangle is half the third side.

Prove that the line joining the middle points of the two sides of a triangle is parallel to the third side.

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.