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

Using Theorem 6.2, prove that the line joining the mid-point of any two sides of a triangle is parallel to the third side. (Recall that you have done it in class IX).

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.

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.

The line segment joining the mid-points of any two sides of a triangle in parallel to the third side and equal to half of it.

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

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

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.