ABCD is quadrilateral E, F, G and H are the midpoints of `AB, BC, CD and DA` respectively. Prove that EFGH is a parallelogram.

ABCD is a square. E, F, G and H are the mid points of AB, BC, CD and DA respectively. Such that AE = BF = CG = DH . Prove that EFGH is a square.

In the adjacent figure ABCD is a parallelogram P and Q are the midpoints of sides AB and DC respectively. Show that PBCQ is also a parallelogram.

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

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.

ABCD is a quadrilateral in which P, Q, R and S are mid- points of the sides AB, BC, CD and DA. AC is a diagonal. Show that : PQRS is a parallelogram.

ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked on the sides AB, BC, CD, and DA, respectively. The number of triangles with vertices on different sides is

ABCD is a quadrilateral in which P, Q, R and S are mid- points of the sides AB, BC, CD and DA. AC is a diagonal. Show that : PQ=SR

ABCD is a quadrilateral in which P, Q, R and S are mid- points of the sides AB, BC, CD and DA. AC is a diagonal. Show that : SRabsAC and SR=1/2AC

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)