[" 20.P,Q,R and S are respectively the mid-points of the sides AB,BC,CD and "],[" DA of a quadrilateral ABCD in which "AC=" BO.Prove that PQRS is a rhombus."]

P, Q , R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD in which AC = BD. Prove that PQRS is a rhombus.

P, Q , R and S are respectively the mid-points of the sides AB, BC, CD and DA of a quadrilateral ABCD in which AC = BD. Prove that PQRS is a rhombus.

P,Q,R and S are respectively the mid points of the sides AB,BC,CD and Da of a quadrilateral ABCD in which AC=BD and ACbotBD . Prove that PQRS is a square.

P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC=BD and ACbotBD . Prove that PQRS is a square.

P, Q, R and S are respectively the mid-points of sides AB, BC, CD and DA of quadrilateral ABCD in which AC=BD and ACbotBD . Prove that PQRS is a square.

P,Q,R and S are respectively the mid points of the sides AB,BC,CD and DA of a quadrilateral ABCD such that ACbotBD . Prove that PQRs is a rectangle.

The quadrilateral formed by joining the mid-points of the sides AB, BC, CD, DA of a quadrilateral ABCD is

IF P,Q,R and S are respectively the mid-points of the sides of a parallelogram ABCD show are (PQRS) = 1/2 ar (ABCD)

Let P, Q, R, S be respectively the midpoints of the sides AB, BC, CD and DA of quad. ABCD Show that PQRS is a parallelogram such that ar("||gm PQRS")=(1)/(2)ar("quad. ABCD") .

ABCD is a rectangle and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.