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.

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) .

The line segment joining any two points on the circumference of circle is :

What is the name of the quadrilateral formed by joining the midpoint of sides of a given quadrilateral ?

Find the mid point of the line segment joining the points (3, 0) and (-1, 4)

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).

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other. (b) If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Restate the following statements with appropriate conditions, so that they become true. (iv) The diagonals of a quadrilateral bisect each other.

The locus of the mid point of the line segment joining the focus to a moving point on the parbola y^(2)=4ax is another parabola with directix

The vertices of a Delta ABC are A (-5,-1), B (3,-5) , C (5,2). Show that the area of the Delta ABC is four times the area of the triangle formed by joining the mid-points of the sides of the triangle ABC.