Co-ordinate of diagonal intersection point .
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Knowing the coordinates of ABCD, we can find the equation of AC & BD using the standard for of equation,
y
−
y
1
y
2
−
y
1
=
x
−
x
1
x
2
−
x
1
By solving the two equations we can find the intersection point O.
Case 2 : Square or rectangle or rhombus or parallelogram
enter image source here
In all these four shapes, diagonals bisect each other.
Using mid point formula, we can find the intersection point.
(
x
,
y
)
=
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
Case 3 : Trapezoid or Kite
enter image source here
enter image source here
Similar to a quadrilateral. By solving the equations of the diagonals, one can arrive at the intersection point
Step-by-step explanation:
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