Results 1 to 5 of 5

Math Help - Parallel line contruction

  1. #1
    utsavfromfuture
    Guest

    Unhappy Parallel line contruction

    Hi! I am Utsav again.

    Please tell me again in detail that how can I draw a line parallel to any side of a triangle

    without measuring any angle.

    And please also tell me if there is any property or proof for the solution of above problem.


    Utsav
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Quick's Avatar
    Joined
    May 2006
    From
    New England
    Posts
    1,024
    extend two of the lines equal distances (the extension is marked as two red lines), because the lines stay at the same angle, than the line created connecting the two has the same angles as the original line (the blue lines are parallel).
    Attached Thumbnails Attached Thumbnails Parallel line contruction-parallel-line.jpg  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    10
    Quote Originally Posted by utsavfromfuture
    Hi! I am Utsav again.

    Please tell me again in detail that how can I draw a line parallel to any side of a triangle

    without measuring any angle.

    And please also tell me if there is any property or proof for the solution of above problem.


    Utsav
    How do you mean? Usually you wish to draw through a point a line parallel to the given line. Which is that point here? (The vertex?)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member malaygoel's Avatar
    Joined
    May 2006
    From
    India
    Posts
    648
    Quote Originally Posted by Quick
    extend two of the lines equal distances (the extension is marked as two red lines), because the lines stay at the same angle, than the line created connecting the two has the same angles as the original line (the blue lines are parallel).
    I think that if you will extend two lines by the same distance, then the resulting new line may or may not be the line parallel.
    We are extending two sides, Let AB and AC. Extend AB by the distance equal to AB. Extend AC by the distance equal to AC. Now you will definitely get parallel line.

    Keep Smiling
    Malay
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor Quick's Avatar
    Joined
    May 2006
    From
    New England
    Posts
    1,024
    Quote Originally Posted by malaygoel
    I think that if you will extend two lines by the same distance, then the resulting new line may or may not be the line parallel.
    We are extending two sides, Let AB and AC. Extend AB by the distance equal to AB. Extend AC by the distance equal to AC. Now you will definitely get parallel line.

    Keep Smiling
    Malay
    Too true, because this would form a similar triangle with a ratio of 2:1 compared to the beginning one. (thanx for pointing that out)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. equation of parallel line
    Posted in the Geometry Forum
    Replies: 2
    Last Post: December 8th 2010, 06:54 PM
  2. Replies: 5
    Last Post: November 4th 2009, 07:49 PM
  3. Replies: 9
    Last Post: July 31st 2009, 06:39 AM
  4. parallel line equations
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: August 20th 2008, 09:49 AM
  5. Another field contruction
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: November 26th 2007, 09:12 PM

Search Tags


/mathhelpforum @mathhelpforum