Results 1 to 4 of 4

Math Help - Quadrilateral PRAT

  1. #1
    MHF Contributor
    Joined
    Jul 2008
    From
    NYC
    Posts
    1,489

    Smile Quadrilateral PRAT

    The coordinates of quadrilateral
    PRAT are P(a,b)
    R(a,b + 3), A(a + 3,b + 4), and T(a + 6,b + 2). Prove that segment RA is parallel to segment PT.


    Follow Math Help Forum on Facebook and Google+

  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    11
    Awards
    1
    Quote Originally Posted by magentarita View Post
    The coordinates of quadrilateral

    PRAT are P(a,b)

    R(a,b + 3), A(a + 3,b + 4), and T(a + 6,b + 2). Prove that segment RA is parallel to segment PT.

    You need to show that the slopes of RA and PT are equal.

    Slope of RA: \frac{b+4-(b+3)}{a+3-a}=\frac{1}{3}

    Slope of PT: \frac{b+2-b}{a+6-a}=\frac{2}{6}=\frac{1}{3}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Jul 2008
    From
    NYC
    Posts
    1,489

    I see...

    Quote Originally Posted by masters View Post
    You need to show that the slopes of RA and PT are equal.

    Slope of RA: \frac{b+4-(b+3)}{a+3-a}=\frac{1}{3}

    Slope of PT: \frac{b+2-b}{a+6-a}=\frac{2}{6}=\frac{1}{3}
    I understand now but the question did not say to show that the slopes of RA and PT are equal.

    Thanks
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member Matt Westwood's Avatar
    Joined
    Jul 2008
    From
    Reading, UK
    Posts
    732
    No but that's what "parallel" means. Think about it.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. quadrilateral
    Posted in the Geometry Forum
    Replies: 0
    Last Post: June 9th 2010, 05:39 PM
  2. Quadrilateral
    Posted in the Geometry Forum
    Replies: 2
    Last Post: April 8th 2010, 10:24 AM
  3. please help, quadrilateral
    Posted in the Geometry Forum
    Replies: 3
    Last Post: April 18th 2009, 07:52 AM
  4. quadrilateral
    Posted in the Geometry Forum
    Replies: 3
    Last Post: February 3rd 2009, 10:23 AM

Search Tags


/mathhelpforum @mathhelpforum