Three vertices of a parallelogram taken in order are (-1, -6), (2, -5) and (7, 2). The fourth vertex is

Question

Philoid · Accepted Answer

Let A (− 1, − 6), B(2, − 5) and C(7, 2) be the given vertex.

Let D(h, k) be the fourth vertex.

The midpoints of AC and BD are and respectively.

We know that the diagonals of a parallelogram bisect each other .

⇒ h = 4 and k = 1