Results 1 to 3 of 3

Math Help - prove a congruent angle with a bisector

  1. #1
    Junior Member
    Joined
    Jun 2007
    Posts
    60

    prove a congruent angle with a bisector

    is this how this is solved?
    Attached Files Attached Files
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member Jonboy's Avatar
    Joined
    May 2007
    From
    South Point
    Posts
    193
    No. Since \Delta ADP\,\cong \Delta BFP then AP\,=\,PB.

    A bisector divides a segment into two equal lengths and since they are already equal, then PE\,=\,KP

    EDIT: Your title says prove a congruent angle but your file says prove a side is the same. Is that what you intended?


    Last edited by Jonboy; June 18th 2007 at 02:12 PM. Reason: confusion
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    13
    We can call \measuredangle~ADK=\alpha\implies\measuredangle~KD  P=\measuredangle~EFP=\alpha, and \measuredangle~KPD=\measuredangle~EPF\implies by ASA congruence we have \triangle{DKP}\cong\triangle{FEP}\implies\overline  {PE}=\overline{KP}\,\blacksquare
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. isometry and angle bisector
    Posted in the Geometry Forum
    Replies: 0
    Last Post: February 21st 2011, 04:47 PM
  2. angle bisector problem
    Posted in the Geometry Forum
    Replies: 2
    Last Post: February 11th 2011, 09:11 PM
  3. Angle bisector
    Posted in the Geometry Forum
    Replies: 4
    Last Post: January 17th 2011, 06:48 AM
  4. Replies: 1
    Last Post: September 9th 2010, 01:33 PM
  5. Angle Bisector
    Posted in the Geometry Forum
    Replies: 1
    Last Post: August 27th 2009, 03:10 AM

Search Tags


/mathhelpforum @mathhelpforum