Show that the four points (2,5),(5,9), (9,12) and (6,8) when joined in order , form a rhombus .

Show that the successive joining of the points (2,5) (5,9) (9,12) and (6,8) produce a rhombus.

Show that the points A(7, 3), B(6, 1), C(8, 2) and D(9, 4) taken in that order are vertices of a parallelogram.

Show that the points (-4, -7), (-1, 2), (8, 5) and (5, -4) taken in order are the vertices of a rhombus. Find its area. (Hint : Area of rhombus = (1)/(2)xx product of its diagonals)

Show that , if the four points (-7,2),(19,8),(15,-6)and (-11,-12) are joined successively , then a parallelogram will be formed .

Show that the points (-2,-1),(5,4),((6,7) and (-1,2) are the vertices of a parallelogram .Is the parallelogram a rectangle ?

Prove that the point A (7, 3), B (9, 6), C (10, 12) and D(8, 9) when joined consecutively produce a parallelogram.

Using direction ratios prove that the points (4, 2, -6), (5, -3, 1), (12, 4, 5) and (11, 9, -2) taken in order are the vertices of a rectangle.

Prove that the points (0,0),(0,10),(8,16)and (8,6)are the vertices of a rhombus , find the area of the rhombus. Show also that the diogonal of the rhombus intersect at right angle

Show that the points A (4, 2), B (7, 5) and C (9, 7) are three points lying on a same line.

Show that the points (0. 7, 10), (-1, 6, 6) and (-4, 9, 6) form a right angled isoscles. triangle.