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**sydbernard****Member**- Registered: 2017-09-04
- Posts: 6

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.)

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,228

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

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