Advertisement
If you have a new account but are having problems posting or verifying your account, please email us on hello@boards.ie for help. Thanks :)
Hello all! Please ensure that you are posting a new thread or question in the appropriate forum. The Feedback forum is overwhelmed with questions that are having to be moved elsewhere. If you need help to verify your account contact hello@boards.ie
Hi there,
There is an issue with role permissions that is being worked on at the moment.
If you are having trouble with access or permissions on regional forums please post here to get access: https://www.boards.ie/discussion/2058365403/you-do-not-have-permission-for-that#latest

Converse of a Theorem

  • 10-06-2012 12:07pm
    #1
    Registered Users, Registered Users 2 Posts: 3,989 ✭✭✭


    Hey, can anyone help me out and tell me what you're supposed to write for this question? I missed quite some time in Maths due to sport and other subject requirements so i'm a bit behind and have a feeling this will be on the paper tomorrow! The question is;

    (a) Explain what is meant by the converse of a theorem

    (b) There are some geometric statements that are true, but have converses that are false. Give one such geometric statement and state the false converse

    Thanks guys, bit lost right now so any help would be greatly appreciated!


Comments

  • Registered Users, Registered Users 2 Posts: 187 ✭✭An0n


    (a) Pretty much the reverse of what the theorem states.

    (b) Example: All squares are parrallelograms, but not all par. are squares.


  • Registered Users, Registered Users 2 Posts: 62 ✭✭ehshup


    (a) converse - if a theorem states "if A, then B," the converse of a theorem states "if B, then A." For example, if a theorem states that Opposite angles in a cyclic quadrilateral add to 180 degrees, the converse would be If opposite angles in a quadrilateral add to 180 degrees, then it is a cyclic quadrilateral.
    (b) take this for example- Statement: Equilateral triangles are shapes which do have 3 angles. Converse: If a shape has three angles, it is an equilateral triangle.
    Clearly the converse is false


  • Registered Users, Registered Users 2 Posts: 2,249 ✭✭✭Bears and Vodka


    (b) In a square, all sides are at right angles to each other.
    The false converse: if all sides in a shape are at right angles to each other then it's a square. (It's false because it can be a rectangle too)


Advertisement