How to find the point of intersections of diagonals?
1 Answer
Feb 12, 2018
As detailed below
Explanation:
Since, the shape is not given, let us consider the following cases of a quadrilateral with coordinates of four corners given :
Case 1 : Nonuniform quadrlateral.
Knowing the coordinates of ABCD, we can find the equation of AC & BD using the standard for of equation,
By solving the two equations we can find the intersection point O.
Case 2 : Square or rectangle or rhombus or parallelogram
In all these four shapes, diagonals bisect each other.
Using mid point formula, we can find the intersection point.
Case 3 : Trapezoid or Kite
Similar to a quadrilateral. By solving the equations of the diagonals, one can arrive at the intersection point.