2006-09-27 01:59:58 · 10 answers · asked by scott.radley 4 in Science & Mathematics ➔ Mathematics
Infinitely many, in fact uncountably many. The cardinality of the set of lines of symmetry is the same as the cardinality of the set of real numbers.
To see this (if you know about such things) is there is a line of symmetry for each radius at an angle of 0 to pi radians. (Extend it to a diameter, after pi radians the diameters repeat themselves.) So for each real between 0 and pi, there is a line of symmetry and the reals between 0 and pi have the same cardinality as the set of all reals.
2006-09-27 03:58:43 · answer #1 · answered by Theodore R 2 · 0⤊ 0⤋
Every line passing through the center of the circle is a line of symmetry. Ergo, there are an infinite number of them.
2006-09-27 09:48:27 · answer #2 · answered by michaell 6 · 0⤊ 0⤋
Infinite, every diameter is a line of symmetry and in theory you can draw an infinite number of diameters on a circle
2006-09-27 09:43:03 · answer #3 · answered by Anonymous · 1⤊ 0⤋
Infinitely symmetrical. All lines of symmetry are diameters of the circle and pass thru the centre.
2006-09-27 09:12:57 · answer #4 · answered by Anonymous · 1⤊ 0⤋
Infinitely many. Every possible diameter lies along a different line of symmetry.
2006-09-27 09:02:43 · answer #5 · answered by Jay H 5 · 1⤊ 0⤋
Infinite.
2006-09-27 09:06:14 · answer #6 · answered by chemistry_freako 3 · 1⤊ 0⤋
I think an infinite amount.
2006-09-27 09:04:11 · answer #7 · answered by punkakski 2 · 1⤊ 0⤋
infinite
2006-09-27 09:07:24 · answer #8 · answered by Vera 3 · 1⤊ 0⤋
it has a ifinte nobody really knows
2014-02-11 16:42:25 · answer #9 · answered by Fatmata Newland 1 · 0⤊ 0⤋
infinate
2006-09-27 11:22:09 · answer #10 · answered by Sherman81 6 · 1⤊ 0⤋