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.

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 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 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.

D and E are points on sides AB and AC respectively of Delta ABC such that ar (DBC) = ar EBC). Prove that DE |\| BC.

D and E are points on sides AB and AC respectively of tirangle ABC such that ar (DBC) = ar (EBC) . Prove that DE || BC

If D, E, F are respectivley the mid points of AB, AC and BC respectively in a triangle ABC, then vec BE + vec AF =

In the adjoining figure, D and E are the mid-points of AB and AC respectively. If DE = 4 cm , then BC is equal to :

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