how to find the fourth vertex of parallelogram whose vertices are consecutuve ?
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Given three of vertices of a parallelogram are A(1,2), B (4,3), C (6,6).
Let the coordinates of fourth vertex be D (x, y)
In a parallelogram, diagonals bisect each other.
Hence midpoint of BD = midpoint of AC
Midpoint of line segment joining the points and is
4 + x = 7 and
and 3 + y = 8
and y = 5
Therefore, the fourth vertex, D is (3, 5).
Given three of vertices of a parallelogram are A(1,2), B (4,3), C (6,6).
Let the coordinates of fourth vertex be D (x, y)
In a parallelogram, diagonals bisect each other.
Hence midpoint of BD = midpoint of AC
Midpoint of line segment joining the points and is
4 + x = 7 and
and 3 + y = 8
and y = 5
Therefore, the fourth vertex, D is (3, 5).
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