Using Theorem , 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 is class IX) .

Using Theorem , prove that a line drawn thought the mid- point of one side of a triangle parallel to another side bisects the third side .( Recall that you have proved it in class IX).

In a trapezium, prove that the line joining the midpoints of non - parallel sides are parallel to the parallel sides of the trapezium.

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

Show tha the line segments joining the mid points of the opposite sides of a quadrilateral bisect each other.

Find the Area of the triangle formed by joining the mid points of the sides (0,-1) (2,1) and (0,3)

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

A B C D is a quadrilateral. E is the point of intersection of the line joining the midpoints of the opposite sides. If O is any point and vec O A+ vec O B+ vec O C+ vec O D=x vec O E ,t h e nx is equal to a. 3 b. 9 c. 7 d. 4

If a vertex of a triangle is (1, 1) and the mid-points of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is :

If a straight line divdes two sides of a triangle proportionally, then the straight line a parallel to third sides, (Converse of Thales theorem). Prove.