## Question

The coordinates of three consecutive vertices of a parallelogram are (1, 3), (–1, 2) and (2, 5). Then find the coordinates of the fourth vertex.

### Solution

(4, 6)

Let the fourth vertex be . Since *ABCD* is a parallelogram, the diagonals bisect to each other.

*i.e.*, mid point of *BD* = mid point of *AC*

on equating abscissaes and cordinates, we get

Hence the coordinates of the fourth vertex

#### SIMILAR QUESTIONS

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