Infinite Lines Of Symmetry In A Circle

In simplistic terms a circle will always fit into its original outline regardless of how many times it is rotated.

Infinite lines of symmetry in a circle. Any chord of the circle that passes through its center will be line of symmetry. Circles are the only euclidean shape with this property. Circles have an infinite number of lines of symmetry. Paper folding method we can imagine the shape given as a paper.

So this is a line of symmetry triangles a triangle can have 3 or 1 or no lines of symmetry. Since there is an infinite number of chords there is an. To check the line of symmetry we have to fold the paper through the line. A circle has an infinite number of lines of symmetry.

Some shapes will have infinite lines of symmetry. The order of rotational symmetry of a circle is how many times a circle fits on to itself during a full rotation of 360 degrees. So this is not a line of symmetry but when i try it this way it does work the folded part sits perfectly on top all edges matching. This contrasts with polygons such as the triangles and quadrilaterals considered in 4 g lines of symmetry for triangles and 4 g lines of symmetry for quadrilaterals the.

And there are an infinite number of lines that can be drawn. Here i have folded a rectangle one way and it didn t work. Any chord of the circle that passes through its center will be a line of symmetry. This cannot be true because eventually you.

There infinite lines of symmetry in a circle 0 1 1 log in to reply to the answers post anonymous 1 decade ago if you think about it a circle has an infnate amount of lines of symmetry. A circle has an infinite number of lines of symmetry because a circle has an infinite number of diameters and each diameter divides the circle into two semicircles. Circles have fascinated mathematicians. A circle has an infinite number of lines of symmetry.

Im commentary a circle has an infinite number of symmetries.