In the adjoining figure, ABCD is a quadrilateral in which P, Q, R and S are mid-points of AB, BC, CD and DA respectively. AC is its diagonal. Show that
(i) SR || AC and SR =12AC
(ii) PQ = SR
(iii) PQRS is a parallelogram.
Solution:
More Solutions:
- If P and Q are mid-points of OB and OC respectively.
- PQRS is a parallelogram
- The quadrilateral formed by joining the mid-points.
- Diagonals of ABCD are equal
- Prove that PQ ⊥ QR.
- The diagonals of a quadrilateral ABCD are perpendicular.
- Prove that AD and FE bisect each other.
- Find the perimeter of the parallelogram BDEF.
- Prove that B is mid-point of AF and EB = LF.
- Show that CR = 12 AC.