Heyy... plzz help
If A(1,2) B(4,3) and C(6,6) are the 3 vertices of a parallelogram ABCD, then find the coordinates of the fourth vertex.
If A(1,2) B(4,3) and C(6,6) are the 3 vertices of a parallelogram ABCD, then find the coordinates of the fourth vertex.
Add an Answer
More Questions From This User See All
Answers & Comments
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 is
(4 + x)/2 = 7/2
4 + x = 7 and
x=3 and (3 + y)/2 = 8/2
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)
Mark as brainliest