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Check Parallel lines if intersect

eDaNoy

 

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given image above,

I would like to check both segments (maroon/orange line could be in any slope value) which are parallel to each other if they intersect.

dashed lines are the perpendicular lines of the maroon or of the orange line (my plan is to use these to get the intersections) .

The problem now is, how can i get the points of the perpendicular lines.

Im welcome for other suggestions.

Parents

  • Noy,

    Try this approach when you do the function..

    -> remember that lines that are perpendicular have negative reciprocal of the other..

    ex:

    slope1 = - 1/slope2 (given that line of slope1 is perpendicular with slope2)

    ->also consider using slope intercept form in deriving your function

    slope intercept form -> y = mx + b

    where m is the slope and b is the y intercept..

    With this 2 equations, you can now combine it.. You can set the intersection point of the orange line and dotted line as your common point. because this point both lies on the 2 perpendicular lines.. 

    I think this information is enough to solve for the other end of the dotted line.

    Hope this helps..

    Regards,  

Reply

  • Noy,

    Try this approach when you do the function..

    -> remember that lines that are perpendicular have negative reciprocal of the other..

    ex:

    slope1 = - 1/slope2 (given that line of slope1 is perpendicular with slope2)

    ->also consider using slope intercept form in deriving your function

    slope intercept form -> y = mx + b

    where m is the slope and b is the y intercept..

    With this 2 equations, you can now combine it.. You can set the intersection point of the orange line and dotted line as your common point. because this point both lies on the 2 perpendicular lines.. 

    I think this information is enough to solve for the other end of the dotted line.

    Hope this helps..

    Regards,  

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