The windmill, like other shapes with rotational symmetry, will not look identical if rotated by an angle less than 90°. It has rotational symmetry of 90°, meaning it will align with its original position only after a 90° rotation or any other multiple of 90° (i.e., 180°, 270°, and 360°). This properRead more
The windmill, like other shapes with rotational symmetry, will not look identical if rotated by an angle less than 90°. It has rotational symmetry of 90°, meaning it will align with its original position only after a 90° rotation or any other multiple of 90° (i.e., 180°, 270°, and 360°). This property makes the windmill look the same at specific rotational intervals, but not at intermediate angles like 45° or less.
If 60° is an angle of symmetry, then the smallest angle of symmetry is indeed 60°. The other angles would be 120°, 180°, 240°, 300°, and 360°. This pattern is typical of a regular hexagon, where these angles represent the rotational symmetry of the shape. A regular hexagon can be rotated by these spRead more
If 60° is an angle of symmetry, then the smallest angle of symmetry is indeed 60°. The other angles would be 120°, 180°, 240°, 300°, and 360°. This pattern is typical of a regular hexagon, where these angles represent the rotational symmetry of the shape. A regular hexagon can be rotated by these specific angles, and it will look the same at each of them, reflecting the evenly spaced sides and angles of the hexagon’s design.
A figure cannot have a smallest angle of symmetry of 45° because 45° is not a divisor of 360°. For rotational symmetry, the smallest angle of symmetry must divide 360° evenly. In cases where the smallest angle is 45°, there would be no symmetry at specific intervals. For example, regular shapes likeRead more
A figure cannot have a smallest angle of symmetry of 45° because 45° is not a divisor of 360°. For rotational symmetry, the smallest angle of symmetry must divide 360° evenly. In cases where the smallest angle is 45°, there would be no symmetry at specific intervals. For example, regular shapes like squares, triangles, or hexagons have rotational symmetry where the angles are divisors of 360° (such as 90°, 60°, etc.).
A figure cannot have a smallest angle of symmetry of 17° because it is not a divisor of 360°. For rotational symmetry to exist, the smallest angle must divide 360° exactly. In the case of 17°, it does not fit this criterion, meaning the figure cannot have rotational symmetry with that as the smallesRead more
A figure cannot have a smallest angle of symmetry of 17° because it is not a divisor of 360°. For rotational symmetry to exist, the smallest angle must divide 360° exactly. In the case of 17°, it does not fit this criterion, meaning the figure cannot have rotational symmetry with that as the smallest angle. Regular polygons and other symmetrical shapes must have angles that divide evenly into 360° to display true rotational symmetry.
Yes, the outer boundary of the new Parliament Building in Delhi has reflection symmetry. Several lines of symmetry pass through the building's central axis, dividing it into identical mirrored halves. These lines run vertically and horizontally through the center, ensuring balance in the building'sRead more
Yes, the outer boundary of the new Parliament Building in Delhi has reflection symmetry. Several lines of symmetry pass through the building’s central axis, dividing it into identical mirrored halves. These lines run vertically and horizontally through the center, ensuring balance in the building’s design. Reflection symmetry plays a crucial role in architecture, ensuring proportionality, stability, and aesthetic appeal. Symmetrical designs make structures appear balanced and are crucial in historical and modern architectural works.
Will the windmill above look exactly the same when rotated through an angle of less than 90°?
The windmill, like other shapes with rotational symmetry, will not look identical if rotated by an angle less than 90°. It has rotational symmetry of 90°, meaning it will align with its original position only after a 90° rotation or any other multiple of 90° (i.e., 180°, 270°, and 360°). This properRead more
The windmill, like other shapes with rotational symmetry, will not look identical if rotated by an angle less than 90°. It has rotational symmetry of 90°, meaning it will align with its original position only after a 90° rotation or any other multiple of 90° (i.e., 180°, 270°, and 360°). This property makes the windmill look the same at specific rotational intervals, but not at intermediate angles like 45° or less.
For more NCERT Solutions for Class 6 Math Chapter 9 Symmetry Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
In a figure, 60° is an angle of symmetry. The figure has two angles of symmetry less than 60°. What is its smallest angle of symmetry?
If 60° is an angle of symmetry, then the smallest angle of symmetry is indeed 60°. The other angles would be 120°, 180°, 240°, 300°, and 360°. This pattern is typical of a regular hexagon, where these angles represent the rotational symmetry of the shape. A regular hexagon can be rotated by these spRead more
If 60° is an angle of symmetry, then the smallest angle of symmetry is indeed 60°. The other angles would be 120°, 180°, 240°, 300°, and 360°. This pattern is typical of a regular hexagon, where these angles represent the rotational symmetry of the shape. A regular hexagon can be rotated by these specific angles, and it will look the same at each of them, reflecting the evenly spaced sides and angles of the hexagon’s design.
For more NCERT Solutions for Class 6 Math Chapter 9 Symmetry Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Can we have a figure with rotational symmetry whose smallest angle of symmetry is 45°?
A figure cannot have a smallest angle of symmetry of 45° because 45° is not a divisor of 360°. For rotational symmetry, the smallest angle of symmetry must divide 360° evenly. In cases where the smallest angle is 45°, there would be no symmetry at specific intervals. For example, regular shapes likeRead more
A figure cannot have a smallest angle of symmetry of 45° because 45° is not a divisor of 360°. For rotational symmetry, the smallest angle of symmetry must divide 360° evenly. In cases where the smallest angle is 45°, there would be no symmetry at specific intervals. For example, regular shapes like squares, triangles, or hexagons have rotational symmetry where the angles are divisors of 360° (such as 90°, 60°, etc.).
For more NCERT Solutions for Class 6 Math Chapter 9 Symmetry Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Can we have a figure with rotational symmetry whose smallest angle of symmetry is 17°?
A figure cannot have a smallest angle of symmetry of 17° because it is not a divisor of 360°. For rotational symmetry to exist, the smallest angle must divide 360° exactly. In the case of 17°, it does not fit this criterion, meaning the figure cannot have rotational symmetry with that as the smallesRead more
A figure cannot have a smallest angle of symmetry of 17° because it is not a divisor of 360°. For rotational symmetry to exist, the smallest angle must divide 360° exactly. In the case of 17°, it does not fit this criterion, meaning the figure cannot have rotational symmetry with that as the smallest angle. Regular polygons and other symmetrical shapes must have angles that divide evenly into 360° to display true rotational symmetry.
For more NCERT Solutions for Class 6 Math Chapter 9 Symmetry Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/
Does the outer boundary of the picture of the new Parliament Building in Delhi have reflection symmetry? If so, draw the lines of symmetry.
Yes, the outer boundary of the new Parliament Building in Delhi has reflection symmetry. Several lines of symmetry pass through the building's central axis, dividing it into identical mirrored halves. These lines run vertically and horizontally through the center, ensuring balance in the building'sRead more
Yes, the outer boundary of the new Parliament Building in Delhi has reflection symmetry. Several lines of symmetry pass through the building’s central axis, dividing it into identical mirrored halves. These lines run vertically and horizontally through the center, ensuring balance in the building’s design. Reflection symmetry plays a crucial role in architecture, ensuring proportionality, stability, and aesthetic appeal. Symmetrical designs make structures appear balanced and are crucial in historical and modern architectural works.
For more NCERT Solutions for Class 6 Math Chapter 9 Symmetry Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-6/maths/