Question

The points A (2, 0), B (9, 1), C (11, 6) and D (4, 4) are the vertices of a quadrilateral ABCD. Determine whether ABCD is a rhombus or not.

Answer 1

Let A(2, 0), B(9, 1), C(11, 6) and D(4, 4) be the given points.

Coordinates of midpoint AC are

Coordinates of midpoint BD are

Since, coordinates of mid-point of AC ≠ coordinates of mid-point of . BD

So, ABCD, is not a parallelogram. Hence, it is not a rhombus.