Symmetry is a fundamental concept in geometry that refers to the balanced and proportionate similarity of an object or shape. It plays a vital role in art, nature, and various fields of mathematics.
A shape has line symmetry if one half of the shape is a mirror image of the other half when folded along a line. This line is called the line of symmetry.
A shape has rotational symmetry if it looks the same after being rotated by a certain angle around a central point.
This occurs when an object looks the same on both sides of a central axis, as seen in reflections in mirrors or water surfaces.
Example 1: Find the number of lines of symmetry in a regular hexagon.
Solution: A regular hexagon has 6 lines of symmetry.
Symmetry is an essential concept in mathematics and daily life. Understanding symmetry helps in problem-solving, design, and appreciating the beauty of the world around us.