Stringy Quads

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative
You will need a loop of string for this activity and three other friends.

 

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Stringy Quads


 

 

Stretch the string out so that each of you is holding a corner to make a quadrilateral.

 

Try to make one which has exactly one line of symmetry.

Is it possible?

How could you convince someone else that your shape has just one line of symmetry?

Can you make any other quadrilaterals with just one line of symmetry?

Try again, but this time answer the same questions for a quadrilateral with exactly two lines of symmetry.

Try again, but this time answer the same questions for a quadrilateral with exactly three lines of symmetry.

Try again, but this time answer the same questions for a quadrilateral with exactly four lines of symmetry.