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.