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All regular polygons do.
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∙ 13y ago
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Does a shape have to be a regular polygon in order to have rotational symmetry?
A line segment would have rotational symmetry.
Does T have rotational symmetry and line symmetry?
It has line symmetry (straight down the center) but not rotational symmetry.
What is a polygon with 90 degree rotational symmetry and no lines of symmetry?
Blue
Can a shape have rotational symmetry and line symmetry?
Yes. Any equilateral shape can have both rotational and line symmetry.
Does a rectangle have line symmetry without rotational symmetry?
No A rectangle has rotational symmetry as well
Does a shape have to be a regular polygon in order to have rotational symmetry?
A line segment would have rotational symmetry.
What polygon has 1 line of symmetry but has no rotational symmetry?
An isosceles triangle has one line of symmetry, which is drawn from the noncongruent side to the opposite vertex, and does not have a rotation symmetry.
Does z have rotational symmetry but no line symmetry?
The letters H and Z have both line symmetry and rotational symmetry
Which polygon has line symmetry but not rotational symmetry?
A kite, for example.A kite, for example.A kite, for example.A kite, for example.
What regular polygons have rotational symmetry?
All of them have rotational symmetry because all the sides and angles have to be the same in order for the polygon to be a regular polygon
Does T have rotational symmetry and line symmetry?
It has line symmetry (straight down the center) but not rotational symmetry.
How many rotational symmetry fold does a line have?
A line has rotational symmetry of order 2.
A line has how many rotational symmetry?
A line has 180 degrees rotational symmetry.
What is a polygon with 90 degree rotational symmetry and no lines of symmetry?
Blue
What figure has rotational symmetry but not line symmetry?
A nonrectangular parallelogram has rotational symmetry, but not line symmetry. Additionally, shapes such as the letters S, N, and Z can be rotated to show rotational symmetry, although they do not have line symmetry.
What does f have rotational symmetry or line symmetry or both or neither?
F has no symetry : line or 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.
