Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #1 2017-09-11 10:10:48

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.)

Offline

## #2 2017-09-15 19:52:47

bob bundy
Registered: 2010-06-20
Posts: 8,354

### 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

Offline