Prove that the line segments joints joining the mid-points of the adjacent sides of a quadrilateral from a parallelogram.

Using vector method, prove that the line segments joining the mid-points of the adjacent sides of a quadrilateral taken in order form a parallelogram.

The diagonals of a quadrilateral intersect at right angles. Prove that the figure obtained by joining the mid-points of the adjacent sides of the quadrilateral is a rectangle.

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

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

Prove that the figure formed by joining the mid-points of the pair of consecutive sides of a quadrilateral is a parallelogram. OR ABC D is a parallelogram in which P ,Q ,R and S are mid-points of the sides A B ,B C ,C D and D A respectively. A C is a diagonal. Show that : P Q|| A C and P Q=1/2A C S R || A C and S R=1/2A C P Q=S R (iv) P Q R S is a parallelogram.

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

Prove that the figure obtained by joining the mid-points of the adjacent sides of a rectangle is a rhombus.

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

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

The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a (a) parallelogram (b) rectangle (c)square (d) rhombus