Question

1. Take a rectangular sheet of paper.
2. Count its corners.
3. Now fold one of its corners.
   a) How many corners does it have now?
   b) How many corners will you get by folding
   i) 2 corners
   ii) 3 corners
   iii) 4 corners
   c) Can you fold this paper in such a way that it has only three corners? You are allowed only two folds.
   What shape will you get?
4. Repeat the activity with a square sheet of paper.
5. Can you fold all the corners of the square sheet in such a way that the number of corners remains unchanged?

Answer 1

1. Do as directed.
2. There are four corners.
3. a) Five comers.
   b) (i) 6 comers,
   (ii) 7 comers,
   (iii) 8 corners.
   c) Yes, it can be folded to have three corners by folding it twice. The shape thus obtained is a triangle.
4. Do as directed.
5. Yes, all the corners of the square sheet can be folded in such a way that the number of corners remains unchanged.