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

By vector method show that the figure formed by joining the mid-points of a quadrilateral is parallelogram.

Find the area of a figure formed by joining the mid-points of the adjacent sides of a rhombus with diagonals 12 cm. and 16 cm.

Prove that the quadrilateral formed by joining the mid-points of the sides of a square is also a square.

Prove that the quadrilateral formed by joining the mid-points of the sides of a rectangle is a rhombus, but not a square.

Show that the straight line joining the mid - points of two sides of a triangle is equal to half the third side .

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

Prove that the quadrilateral formed by joining the mid-points successively of any quadrilateral is also a parallelogram. Also, prove that the perimeter of that parallelogram is equal to the sum of that quadrilateral's diagonals.

Using vector properties, show that, a straight line obtained by joining the mid-points of the oblique sides of a trapezium is parallel to the parallel sides of the trapezium and is equal to half of the sum of lengths of the parallel sides.

Prove that the line segment obtianed by joining the midpoints of two transversed sides of a trapezium is parallel to the parallel sides of the trapezium.

Using vector method show that the line joining the middle points of two sides of a triangle is parallel and half of the third side.