Check whether a line-segment intersects the perpendicular line draw from a particular point?

Question

As shown in this image:

I have a set of line segments. I want to check which line-segments intersect with the perpendicular line drawn from a given point (x0,y0).

(E.g.: AB passes the check and BC does not.)

The only information I've got is two points of the line-segment, (x1,y1), (x2,y2), and the target point (x0,y0).

Is it possible to derive a simple formula using these three points?

Thanks in advance.

umanga

Answer 1

For a line AB and a point X, both angles, ABX and BAX must be acute (or right).