Given:
The three vertices of parallelogram are (0,6),(5,-4),(-1,-5).
To find:
The fourth vertex of the parallelogram.
Solution:
Consider the given vertices of parallelogram are A(0,6), B(5,-4), C(-1,-5).
Let the fourth vertex be D(a,b).
Midpoint formula:
We know that the diagonal of parallelogram bisect each other. It means their midpoints are same.
Midpoint of AC = Midpoint of BD
On comparing both sides, we get
And,
Therefore, the coordinates of fourth vertex are (-6,5).