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What is the rotational symmetry of a trapezoid?
A trapezium does not have rotational symmetry.
Does z have rotational symmetry but no line symmetry?
The letters H and Z have both line symmetry and rotational symmetry
How do you sketch a figure with rotational symmetry but no line symmetry?
When a shape is rotated about its centre, if it comes to rest in a position and looks exactly like the original, then it has rotational symmetry. A shape like an equilateral triangle would therefore have an order of rotational symmetry of 3. The general rule for a regular polygon (shapes such as pentagons, heptagons, octagons etc. is, that the number of sides is the same as the number of lines of symmetry, which is also the same as the rotational symmetry order). This means that a regular hexagon has 6 sides, 6 lines of symmetry and an order of rotational symmetry of 6. Following from this, then a square, which is a regular polygon, has 4 sides, 4 lines of symmetry and an order of rotational symmetry of 4. If a shape has rotational symmetry, it must have either line symmetry or point symmetry or both. For example, a five pointed star has 5 lines of symmetry and rotational symmetry of order 5, but does not have point symmetry. A parallelogram has no line of symmetry, but has rotational symmetry of order 2 and also point symmetry. Only a shape which has line symmetry or point symmetry can have rotational symmetry. When there is point symmetry and also rotational symmetry, the order of the latter is even. For example, the letter 'S' has rotational symmetry of order 2, the regular hexagon of order 6. On this basis, we would suggest that the letter 'F' does not have a rotational symmetry order as it does not have either line symmetry or point symmetry. It doesn't have a centre around which you could rotate it. Sounds weird, but given the definitions, we think this is the case.
How much rotational symmetry does an octagon have?
It has 8lines of rotational symmetry
Does an equilateral triangle have rotational symmetry?
yes it does. It a rotational symmetry of 3
What kind of shapes don't ever have rotational symmetry?
Irregular shapes don't ever have rotational symmetry.
What shape has a rotational symmetry of order 1?
none shapes have 1 rotational symmetry because in rotational symmetry one is none
What shapes have 1 order of rotational symmetry?
Nothing has 1 order of rotational symmetry because in rotational symmetry 1 is none.
What shapes has rotational symmetry?
A star
Which shapes have no rotational symmetry?
circle
Which shapes have rotational symmetry which is a quadrilateral?
squarerhombusdiamondrectangle
What are 3 shapes that have rotation symmetry?
A circle, square, and a triangle all have rotational symmetry.
Do all shapes have the same rotational symmetry as its order?
No, not all shapes have the same rotational symmetry as their order. The order of rotational symmetry refers to the number of times a shape can be rotated around a central point and still look the same within one full rotation (360 degrees). While some shapes like regular polygons have rotational symmetry that corresponds directly to their number of sides, irregular shapes may have a different order of symmetry, or none at all.
Which shape has 1 order of rotational symmetry?
These are also known as asymmetric shapes.
What is the symmetry of sphere?
Three dimensional shapes, generally, don't have lines of symmetry, but a circle has an infinite number is symmetry lines. 3D shapes also don't have rotational symmetry either, but a circle has an infinite number of that as well.
What is the rotational symmetry of a trapezoid?
A trapezium does not have rotational symmetry.
Shapes without rotational symmetry and diagonals are perpendicular?
Square, circle, equilateral triange! Hope I helped! :)
