Results 1 to 2 of 2

Math Help - How do I prove that ST andCD are parallel?

  1. #1
    Junior Member
    Joined
    Mar 2008
    Posts
    30

    How do I prove that ST andCD are parallel?

    Prove that cd and st are parallel.
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,686
    Thanks
    617
    Hello, jwein4492!

    Given: . \Delta RTS \sim \Delta RDC

    Prove that: . CD \parallel ST
    Code:
                             R
                            *
                         * *
                      *   *
                   *     *
              T * * * * * S
             *         *
        D *  *  *  *  * C

    (1)\;\;\Delta RTS \sim \Delta RDC\qquad \text{Given}

    (2)\;\;\angle RTS = \angle RDC\qquad\text{Corres. angles of similar triangles are equal}

    (3)\;\;\therefore \;ST \parallel CD\qquad\qquad\text{If two lines are cut by a transversal} \text{ and their corresponding}
    . . . . . . . . . . . . . . . . \text{angles are equal, the two lines are parallel.}

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: February 24th 2011, 01:26 AM
  2. Replies: 1
    Last Post: March 14th 2010, 01:22 PM
  3. Prove that Euclid's parallel postulate implies
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: March 2nd 2010, 08:48 AM
  4. ellipse. prove parallel lines
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 20th 2010, 01:45 AM
  5. Prove lines are parallel
    Posted in the Geometry Forum
    Replies: 3
    Last Post: July 2nd 2007, 07:19 PM

Search Tags


/mathhelpforum @mathhelpforum