Question

How do you find the intersection of a diagonal?

Answer 1

In order to dertermine the intersection point O, we have that knowing the coordinates of the shape, being this ABCD (A shape with 4 sides), we can fin the intersection using:

`(x,y)=((x_1+x_2)/(2),(y_1+y_2)/(2))`

Now, that being the coordinates of the diagonals. [This is a particular case for squares, rectangles, rhombus or prallelograms]

For nonuniform quadrilaterals, we will have:

Since the shape is not given, we will consider a quadrilateral with it's four cornes given (It's coordinates that is).

Since we know the coordinates of the shape ABCD, we can find the equation of AC & BD using:

`(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)`

If we solve the equations we can find the interception point O.