Yes and it is always at the exact middle between the shapes
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symmetry
No.
square
Yes an isosceles triangle has line symmetry
An Isosceles triangle has at least one line of symmetry but if it has more than one line of symmetry it can be an Equilateral triangle as well as a Isosceles Triangle. So a triangle with one line of symmetry is always Isosceles and If it has more than one it is always an Equilateral triangle as well as an Isosceles triangle. Example of an Isosceles triangle: