Math Is Fun Forum

sydbernard

Member

Registered: 2017-09-04

Posts: 6

Geometry help

1. For which numbers n can it happen that a (not necessarily convex) pentagon has exactly n diagonals lying entirely in its interior? For each possible n, draw an example of a pentagon with exactly that many such “internal diagonals”.

2. Can a convex broken line self-intersect? (If yes, give an example, if no, give a proof.)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Geometry help

hi sydbernard

1.  I think to do this, you'd have to work through all the possibilities.  geogebra as I mentioned before would help.

2.  What is meant by a 'broken' line?

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob