38.5k views
1 vote
How do you find the intersection of a diagonal?

User Pron
by
7.8k points

1 Answer

5 votes

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.

User Lamrin
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.