Results 1 to 2 of 2

Math Help - A proof regarding regular pentagons - help needed

  1. #1
    Newbie
    Joined
    Feb 2008
    Posts
    2

    A proof regarding regular pentagons - help needed

    ABCDE is a pentagon. Squares have been constructed on each of the 4 sides of this pentagon acting as a base. The centroid of each square has been determined and a pentagon constructed with these centre points as vertices as shown in the diagrom that is attached.

    I would like to prove that given that the smaller pentagon ABCDE is REGULAR this implies the larger penatgon PQRST is also a regular pentagon. Can anyone help?
    Attached Thumbnails Attached Thumbnails A proof regarding regular pentagons - help needed-gash.jpg  
    Last edited by CaptainBlack; February 16th 2008 at 10:01 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by marzi View Post
    ABCDE is a pentagon. Squares have been constructed on each of the 4 sides of this pentagon acting as a base. The centroid of each square has been determined and a pentagon constructed with these centre points as vertices as shown in the diagrom that is attached.

    I would like to prove that given that the smaller pentagon ABCDE is REGULAR this implies the larger penatgon PQRST is also a regular pentagon. Can anyone help?
    1. Don't post graphic attachments in word documents use an image file format
    so we can see it without having to download the file.

    2. Tell us under what rules you are required to prove this. The construction
    has the same symmetries as the original regular pentagon so trivially the final
    pentagon is regular.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. confusion on proof in do carmo: regular surfaces
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: October 10th 2011, 10:14 PM
  2. Proof of regular polyon inscribed in a cricle
    Posted in the Geometry Forum
    Replies: 7
    Last Post: September 26th 2011, 07:03 AM
  3. Regular Quadrilateral Proof
    Posted in the Geometry Forum
    Replies: 6
    Last Post: May 2nd 2011, 02:56 PM
  4. Proof check: Convert DFA into Regular Expression
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: April 28th 2011, 08:29 PM
  5. Equation needed - Regular polygon question!
    Posted in the Geometry Forum
    Replies: 1
    Last Post: March 14th 2008, 05:01 AM

Search Tags


/mathhelpforum @mathhelpforum