A circle has only 16 lines of symmetry.
Idea:
( ext{A line of symmetry} ) is a line that splits a shape into two exact matching halves.
Think about a circle.
( ext{Every line that passes through the centre of the circle} )
( ext{cuts it into two equal halves.} )
You can draw many such lines:
( ext{1 line, 2 lines, 10 lines, 16 lines, 100 lines, ...} )
There is no last one—you can always draw another line through the centre.
So the number of symmetry lines for a circle is
( ext{not limited to 16.} )
( ext{It is infinite.} )
Why the statement is false:
( ext{"Only 16"} Rightarrow ext{wrong, because we can draw more than 16.} )
( ext{In fact, infinitely many lines of symmetry exist for a circle.} )
Quick check:
( ext{Try drawing lines (diameters) through the centre at different angles.} )
( ext{Each one makes two matching halves. There is no limit.} )