Prove that a line drawn through the midpoint of one side of a triangle parallel to another side bisects the third side (using BPT).

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).

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) .

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

If A is the area and 2s the sum of three sides of a triangle, then

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.

If the midpoints of the sides of a triangle are (3, 4) (4, 6), and (5,7), find the coordinates of the vertices of the triangle.

IF the coordinates of the midpoints of the sides of a triangle are (1, 2), (0, -1), and (2,-1), find vertices of triangle.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.

Show that in a right angled triangle, the hypotenuse is the longest side.