In the picture, the mid points of the large rilateral are. joined to form the smaller rilateral within.

i) Find the coordinates of the fourth. vertex of the smaller rilateral.
ii) Find the coordinates of the other three vertices of the larger rilateral.

Find the coordinates of the other three vertices of the rectangle below: .

In this picture,the mid pointsof the sides of the large triangle are joined to make a small triangle inside. Calculate the coordinates of the vertices of the large triangle.

Find the coordinates of the points which divide the line joining '(1,6)' and '(5,2)' into three equal parts.

In the picture below, the top vertex of a triangle is joined to the midpont of the opposite side and then the point dividing this line in the ratio 2:1 is joined to the other two vertices: Prove that the areas of all three triangles in the picture on the are equal to a third of the area of the whole triangle.

The coordinates of the vertices of a quadrilateral taken in order are '(2,1)', '(5,3),(8,7),(4,9)'. i) Find the coordinates of the midpoints of all four sides. ii) Prove that the quadrilateral got by joining these mid points is a parallelogram.

Find the coordinates of the points which divides the segment joining the point (1,-2,3) and (3,4,-5) in the ratio 2:3.(ii)Externally.

Find the coordinates of the points which divides the segment joining the point (1,-2,3) and (3,4,-5) in the ratio 2:3.(i)Internally

In the picture below, the top vertex of a triangle is joined to the midpoint of the opposite side and then the point dividing this line in the ratio 2:1 is joined to the other two vertices. Prove that the areas of all three triangles in the picture on the right are equal to a third of the area of the whole triangle

Three vertices of a parallelogram ABCD are A(3,-1,2), B(1,2,-4) and C(-1,1,2) . Find the coordinates of the fourth Vertex