Show that the line segments joining the midpoints of the opposite sides of a quadrilateral and bisect each other.

Prove that the line segments joining the midpoints of the adjacent sides of a quadrilateral form a parallelogram.

Prove that line segment joining the midpoints of two sides of a triangle is parallel to the third side whose length is half of the length of the third side.

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

Show that the figure formed by joining the midpoints of sides of a rhombus successively is a rectangle.

The line segment joining the mid-points of two sides of triangles is parallel to the third side and is equal to ____ of its length.

Prove using vectors the mid-points of two opposite sides of a quadrilateral and the mid-points of the diagonals are the vertices of a parallelogram.

Prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side (Using basic proportionality theorem).

ABCD is a quadrilateral and E is the point of intersection of the lines joining the middle points of opposite side. Show that the resultant of vec (OA) , vec(OB) , vec(OC) and vec(OD) = 4 vec(OE) , where O is any point.

Using vectors prove that the diagonals of a parallelogram bisect each other.

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