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Math Help - Midpoint

  1. #1
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    Midpoint

    Show that the midpoint of the line segment joining the points (a,b) and (c,d) is  ( \frac {a+c}{2} , \frac {b+d}{2} )

    May be I'm just thinking too much, do I just simply use the midpoint formula here? Or do I have to do something more?
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  2. #2
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    Quote Originally Posted by tttcomrader View Post
    Show that the midpoint of the line segment joining the points (a,b) and (c,d) is  ( \frac {a+c}{2} , \frac {b+d}{2} )

    May be I'm just thinking too much, do I just simply use the midpoint formula here? Or do I have to do something more?
    You need to show that it is on the line between the points and that it is equidistant from both.

    RonL
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    Quote Originally Posted by tttcomrader View Post
    Show that the midpoint of the line segment joining the points (a,b) and (c,d) is  ( \frac {a+c}{2} , \frac {b+d}{2} )

    May be I'm just thinking too much, do I just simply use the midpoint formula here? Or do I have to do something more?
    1)Take for example (0,1) and (1,0) to illustrate.
    2)Plot these point
    3)Draw a line segment from (0,1) down and draw a line segment from (1,0) left.
    4)Those intersect as (0,0)
    5)By similar triangles if (x,y) is midpoint then x is midpoint of vertical line segment and y is midpoint of horizontal line segment.
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  4. #4
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    Quote Originally Posted by tttcomrader View Post
    Show that the midpoint of the line segment joining the points (a,b) and (c,d) is  ( \frac {a+c}{2} , \frac {b+d}{2} )

    May be I'm just thinking too much, do I just simply use the midpoint formula here? Mr F says: Possibly.

    Or do I have to do something more? Mr F says: Perhaps .... maybe they want you to derive the midpoint formula.
    Why don't you seek clarification from your instructor?
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