Question

Name the quadrilateral formed, if any, by the following points, and give reasons for your answers:

(i) A (-1, -2), B (1, 0), C (-1, 2), D (-3, 0)

(ii) A (-3, 5), B (3, 1), C (0, 3), D (-1, - 4)

(iii) A (4, 5), B (7, 6), C (4, 3), D (1, 2)

Answer 1

(i) Let, A=(-1,-2), B=(1,0), C=(-1,2), D=(-3,0)

Here, all sides of this quadrilateral are of same length and also diagonals are of same length. So, given points are vertices of a square.

(ii) Let, A=(-3,5), B=(3,1), C=(0,3), D=(-1,-4)

Here, all sides of this quadrilateral are of different length . So, we can say that it is only a general quadrilateral not specific like square, rectangle etc.

Here, opposite sides of this quadrilateral are of same length but diagonals are different length . So, given points are vertices of a parallelogram.