NCERT Solutions for Class 6th Maths Chapter 9 Symmetry

About this chapter

A figure has symmetry when a part of it is repeated in a definite pattern. The flower, the butterfly, the rangoli and the pinwheel are symmetrical; a cloud is not. A line that cuts a figure into two parts that exactly overlap when folded along it is a line of symmetry (axis of symmetry). Such a figure is also said to have reflection symmetry . A figure may have many lines of symmetry — a square has 4, a regular hexagon has 6, a circle has infinitely many. If a figure looks exactly the same after being turned through an angle about a fixed point, that angle is an angle of symmetry and the fixed point is the centre of rotation . Since a 360° turn always brings a figure back, 360° is an angle of symmetry of every figure . The number of angles of symmetry is the order of rotational symmetry .

• Chapter opening
• Line of Symmetry
• Figures with more than one line of symmetry; Reflection
• Paper Folding and Cutting
• Punching Game, Paper Cutting and Lines of Symmetry
• Rotational Symmetry
• Rotational Symmetry of Figures with Radial Arms
• Symmetries of a Circle; Regular Polygons; Ashoka Chakra
• Playing with Tiles
• The 6 by 6 grid game