1. The figures shown at the start of the chapter exhibit various types of symmetry. The butterfly has a vertical line of symmetry, and the flower exhibits radial symmetry. The rangoli shows rotational symmetry, and the pinwheel also demonstrates rotational symmetry. However, the cloud does not have anyRead more

    The figures shown at the start of the chapter exhibit various types of symmetry. The butterfly has a vertical line of symmetry, and the flower exhibits radial symmetry. The rangoli shows rotational symmetry, and the pinwheel also demonstrates rotational symmetry. However, the cloud does not have any lines of symmetry as it has an irregular shape with no repeating pattern, making it asymmetrical. Symmetry in natural designs contributes to balance and harmony, while irregular shapes lack this repetitive structure.

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  2. A square can be folded in multiple ways to create symmetrical halves. Besides vertical and horizontal folds, folding the square along its diagonals divides it into two congruent triangles. These diagonal folds form two additional lines of symmetry. The square is unique in that it has four lines of sRead more

    A square can be folded in multiple ways to create symmetrical halves. Besides vertical and horizontal folds, folding the square along its diagonals divides it into two congruent triangles. These diagonal folds form two additional lines of symmetry. The square is unique in that it has four lines of symmetry in total: two diagonals, one vertical, and one horizontal. Each fold produces mirrored halves, making the square one of the most symmetrical shapes in geometry.

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  3. A square has four lines of symmetry. These lines include one vertical line that divides the square into left and right halves, one horizontal line that divides it into top and bottom halves, and two diagonal lines that divide the square into four equal triangles. Each line of symmetry ensures that tRead more

    A square has four lines of symmetry. These lines include one vertical line that divides the square into left and right halves, one horizontal line that divides it into top and bottom halves, and two diagonal lines that divide the square into four equal triangles. Each line of symmetry ensures that the two halves of the square are congruent, making the square one of the most symmetrical and geometrically perfect shapes in mathematics.

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  4. A square is an example of a shape with exactly four angles of symmetry: 90°, 180°, 270°, and 360°. When rotated by these angles, the square aligns with its original position. This rotational symmetry is due to the square’s equal sides and angles. The symmetry highlights the square’s geometric perfecRead more

    A square is an example of a shape with exactly four angles of symmetry: 90°, 180°, 270°, and 360°. When rotated by these angles, the square aligns with its original position. This rotational symmetry is due to the square’s equal sides and angles. The symmetry highlights the square’s geometric perfection, making it one of the most balanced shapes in geometry. Such symmetry is common in patterns, tiling, and designs that require consistency and regularity.

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  5. If the smallest angle of symmetry is 60°, the other angles of symmetry will be 120°, 180°, 240°, 300°, and 360°. These are the multiples of 60° and reflect the symmetry of a regular hexagon. A regular hexagon has six equal sides and angles, and each of these angles represents a rotation that bringsRead more

    If the smallest angle of symmetry is 60°, the other angles of symmetry will be 120°, 180°, 240°, 300°, and 360°. These are the multiples of 60° and reflect the symmetry of a regular hexagon. A regular hexagon has six equal sides and angles, and each of these angles represents a rotation that brings the shape back to its original position. This type of rotational symmetry is common in many symmetrical objects and designs found in nature and geometry.

    For more NCERT Solutions for Class 6 Math Chapter 9 Symmetry Extra Questions and Answer:
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