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Question
- Take a rectangular sheet of paper.
- Count its corners.
- 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? - Repeat the activity with a square sheet of paper.
- Can you fold all the corners of the square sheet in such a way that the number of corners remains unchanged?
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Solution
- Do as directed.
- There are four corners.
- 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. - Do as directed.
- Yes, all the corners of the square sheet can be folded in such a way that the number of corners remains unchanged.
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