Any figure that has line symmetry must also have rotational symmetry. true or false
TRUE?
false.
An object or figure can have more than one line of symmetry.
true or false?
False.
To determine whether any figure that has line symmetry must also have rotational symmetry, we need to understand the definitions of both line symmetry and rotational symmetry.
Line symmetry, also known as reflectional symmetry, refers to the property of a shape that can be divided into two identical halves by a line. This line is called the line of symmetry.
Rotational symmetry, on the other hand, refers to the property of a shape that can be rotated by a certain angle and still appears the same multiple times. The angle by which the shape can be rotated and still appear identical is called the angle of rotational symmetry.
While it is true that some figures that possess line symmetry also possess rotational symmetry, it is not a universal rule. There exist figures that have line symmetry but do not possess rotational symmetry. An example of such a figure is the letter 'S'. It has line symmetry, as it can be divided into two identical halves by a vertical line. However, it does not have rotational symmetry because it cannot be rotated to appear identical multiple times.
Therefore, the statement "Any figure that has line symmetry must also have rotational symmetry" is false.