Question

State whether true or false: The letter O has only two lines of symmetry.
True
False

Answer 1

Hint:The imaginary line or axis along which you can fold a figure to obtain the symmetrical halves is called the line of symmetry. It is also called the axis of symmetry.
Remember that a circle is equidistant from the center in all the directions.

The line of symmetry can be in any direction.

Complete step by step solution:
The letter O is in the shape of a circle. Any line passing through the center of a circle, divides the circle into two identical halves. Since infinitely many lines can be drawn passing through a single point (the center in this case), a circle has infinitely many lines of symmetry.
This has been illustrated in the figure below:

The correct answer is, therefore, B. False.

Note: The word "symmetry " comes from Latin "sym = with " and "metry = measurement ".

Reflection Symmetry (sometimes called Line Symmetry or Mirror Symmetry) is the symmetry when one half is the reflection of the other half.

The Line of Symmetry (also called the Mirror Line or Axis of Symmetry) passes through the
center of the shape and can be in any direction. But there are four common directions, and
they are named for the line they make on the standard XY graph.
x-axis, y-axis, $ y=x $ , $ y=-x $