Prove that the points (2,3), (7,5),(9,8), (4,6) are the corners of a parallelogram.

The points 'A(6,1), B(8,2), C(9,4)', D '(p, 3)' are the vertices of a parallelogram. Find the value of p using the concept that the diagonals of a parallelogram bisect each other

Prove that the points '(1,3),(2,5)' '(3,7)' are on the same line.

Prove that the points. '(3,-2),(7,6)', '(-1,2),(-5,-6)' form the vertices of a rhombus.

Prove that the points (2,4,4),(1,5,4),(2,6,2)and (0,6,4) are coplanar.

Show that the points A(1,2,3) , B(-1,-2,-1) , C(2,3,2) and D(4,7,6) are the vertices of a parallelogram.

We have seen that the points (3,5),(6,7),(9,9) are points on the same line. is there any relation between the 'x' coordinates 3,6 .and 9 of these points? What about the y coordinates 5,7,9 ? Can you find some more points on this line with natural number coordinates?

Prove that the quadrilateral with vertices '(1,1),(5,1),(7,8),(3,8)' is a parallelogram.

Consider the points A(1,2,8), B(0,3,4), C (1,1,3) and D(2,0,7) Prove that ABCD is a parallelogram

If (7,3),(6,1),(8,2)and(p,4) are the vertices of a parallelogram taken in order,then find the value of p.

The coordinates of the verticesofa quadrilateral, taken in order, are (2,1), (5,3), (8,7), (4,9).Prove that the quadrilateral got by joining these midpoints is a parallelogram.