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Square Coordinates printable sheet
Play with this interactivity until you can draw tilted squares confidently.
Formulate and describe a general instruction for the construction of a square when you are given two adjacent corners.
Formulate and describe a general instruction for the construction of a square when you are given two opposite corners.
Decide whether any of the collections of points below form a square.
If so, which ones?
Can you do this without plotting the points on a grid?
1. $(8,3)$, $(7,8)$, $(2,7)$, $(3,2)$
2. $(3,3)$, $(7,4)$, $(8,8)$, $(4,7)$
3. $(16,19)$, $(18,22)$, $(21,20)$, $(19,17)$
4. $(4,20)$, $(21,19)$, $(20,2)$, $(3,3)$
Explain how you decided.
You may now enjoy playing Square It.
Can you work out the area of the inner square and give an explanation of how you did it?
With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.