Show that the area of the triangle formed by joining the extremities of an oblique side of a trapezium to the mid point of opposite side in half that of the trapezium.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square, is also a square.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

Show that the quadrialteral formed by joining the mid-points of the consecutive sides of a rhombus, is a rectangle.

If Delta_(1) is the area of the triangle formed by the centroid and two vertices of a triangle Delta_(2) is the area of the triangle formed by the mid- point of the sides of the same triangle, then Delta_(1):Delta_(2) =

Prove that the four triangles formed by joining in pairs, the mid-points of three sides of a triangle, are congruent to each other.

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.