Name the type or quadrilateral formed, if any, by the following points and give reasons for your answer:
(- 1, - 2), (1, 0), (- 1, 2), (- 3, 0)

Question

Name the type or quadrilateral formed, if any, by the following points and give reasons for your answer:(- 1, - 2), (1, 0), (- 1, 2), (- 3, 0)

Philoid · Accepted Answer

Given points are A(- 1, - 2), B(1, 0), C(- 1, 2) and D(- 3, 0).

Let us find the lengths of the sides.

We know that the distance between the points (x₁, y₁) and (x₂, y₂) is .

Now,

⇒

We got AB = BC = CD = DA, this may be square (or) rhombus.

Now we find the lengths of the diagonals.

⇒

We got AC = BD.

∴ The points form a square.