Yes. If you hold a spoon with the handle pointing straight down it's left side will look the same as it's right side. Therefore it is symmetrical.
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Pentagons can be symmetrical, but are not always so.
The space it occupies isn't symmetrical.
No but capital H is a symmetrical letter
a circle has an infinite amount of symmetrical lines. everywhere you put a line through a circle, it will be symmetrical.
No.