Name the type or quadrilateral formed, if any, by the following points and give reasons for your answer:
(4, 5), (7, 6), (4, 3), (1, 2)

Question

Name the type or quadrilateral formed, if any, by the following points and give reasons for your answer:(4, 5), (7, 6), (4, 3), (1, 2)

Philoid · Accepted Answer

Given points are A(4, 5), B(7, 6), C(4, 3) and D(1, 2).

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 = CD and BC = DA, this may be a parallelogram or a rectangle.

Now we find the lengths of the diagonals.

⇒

We got AC≠BD.

∴ The points form a parallelogram.