Symmetry | Class 6 Mathematics Notes

Line Symmetry

Line symmetry, also called mirror symmetry, occurs when a figure can be divided by a straight line such that one half is the mirror image of the other half. This straight line is called the line of symmetry or axis of symmetry. To check if a figure has line symmetry, you can fold it along a line and see if the two halves match exactly. If they do, the line is a line of symmetry. Some figures have more than one line of symmetry, while others may have none. For example, a square has four lines of symmetry: two along its diagonals and two along the midlines parallel to its sides. A circle has infinite lines of symmetry because it looks the same when folded along any diameter. Understanding line symmetry helps in recognizing patterns and shapes and is useful in design and geometry. The chapter explains how to identify lines of symmetry in various shapes and figures by folding and drawing.

📊 Diagram: Figure 9.5 Now, can you say what figure repeats; Figure 9.6 Now, can you say what figure repeats; Figure 9.7 Now, can you say what figure repeats

🧪 Activity: Take different shapes cut out of paper and fold them along different lines to check if the halves match. Mark the lines of symmetry on each shape.

🔗 Connection: After understanding line symmetry, the chapter moves on to explore symmetry in letters and numbers, showing how symmetry is present in everyday symbols.