1. symmetry about the
For symmetry about the , check to see if it is the same when you replace with
So does have symmetry about the
2. symmetry about the
For symmetry about the , check to see if it is the same when you replace with ≠
So does have symmetry about the
3. diagonal symmetry
For diagonal symmetry, check to see if it is the same when you swap and :
...=>.. is not the same as
So does have diagonal symmetry
4. origin symmetry
Start with:
Replace with and with :
Multiply both sides by :
we have the equation which is equal to original equation , hence does have origin symmetry