# Why would a circle have an infinite number of lines of reflection?

## Why would a circle have an infinite number of lines of reflection?

If we fold the circle over any line through the center O, then the parts of the circle on each side of the line will match up. Each of these points can be used to draw a line of symmetry. Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry.

### Does a figure exist that has an infinite number of lines of symmetry?

The symmetrical figure is a work of symmetry despite its division into any number of parts. Dividing a figure into identical halves is the primary test of being in symmetry. There are figures and shapes that can have more than one lines of symmetry. A circle has infinite lines of symmetry.

#### What has infinite symmetry lines?

circle is the figure which has infinite line of symmetry..

What shape has an infinite number of rotational symmetry?

Examples of Rotational Symmetry

Shape Order of Rotational Symmetry
Circle Infinite
Regular Pentagon 5
Regular Hexagon 6
Regular Heptagon 7

What is the line of symmetry of a circle?

infinite lines
Lines of Symmetry in a Circle A circle has its diameter as the line of symmetry, and a circle can have an infinite number of diameters. Hence, a circle has infinite lines of symmetry.

## How many symmetry lines does a rectangle have?

two lines of symmetry
A rectangle has two lines of symmetry. It has rotational symmetry of order two.

### What is the 4 line of symmetry?

Square
Regular Polygons

An Equilateral Triangle (3 sides) has 3 Lines of Symmetry
A Square (4 sides) has 4 Lines of Symmetry
A Regular Pentagon (5 sides) has 5 Lines of Symmetry
A Regular Hexagon (6 sides) has 6 Lines of Symmetry
A Regular Heptagon (7 sides) has 7 Lines of Symmetry

#### What is called line of symmetry?

A line of symmetry is a line that cuts a shape exactly in half. This means that if you were to fold the shape along the line, both halves would match exactly. Equally, if you were to place a mirror along the line, the shape would remain unchanged. A square has 4 lines of symmetry, as shown below.

What triangle has only one line of symmetry?

isosceles triangle
An isosceles triangle has one line of symmetry.

Can a line be an infinitely large circle?

The statement that a line is an infinitely large circle can then be framed in terms of curvature. For each R > 0 let C R be a circle of radius R; then it has curvature 1 / R. Then in the limit as R → ∞, the curvature goes to 0. In some sense, at ” R = ∞ ” we end up with curvature ” 1 / ∞ = 0 ,” a straight line.

## Can a circle have no sides or infinite sides?

A polygon with infinite amounts of vertices will theoretically never be a perfect circle – so in theory a circle can not have any sides at all. I remember that this argument was used to disprove a proof that stated pi was equal to 4.

### Is it true that a circle has no corners?

Mathematically, circles have no corners. Anyone blathering about the approximation of a circle is simply not talking about a circle, but an entirely different shape with an entirely different definition, so their points are irrelevant. RE: infinite or none? does a circle has infinite corners or none?

#### Is the infinity of a circle a number?

Infinity was a number to both Kepler and Leibniz who spoke of a circle as an infinite-sided polygon. This point of view is useful in analyzing the properties of the circle, as well as more general curves, in infinitesimal calculus.