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∙ 11y ago
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Can a shape have rotational symmetry and line symmetry?
Yes. Any equilateral shape can have both rotational and line symmetry.
Which shape line of symmetry but no rotational symmetry?
A semicircle.
Does a shape have to be a regular polygon in order to have rotational symmetry?
A line segment would have rotational symmetry.
What shape has sometimes has one line of reflective symmetry but no rotational symmetry?
How about an isosceles trapezoid
Which shape has a Rotational symmetry but not have line of symmetry?
The letters S, N, Z, for example.
What shape has one line of symmetry and two lines of rotational symmetry?
A triangle........I think
What quadrilateral shape has opposite angles squal but no line of symmetry?
Parrallelogram (it has rotational symmetry but no lines of symmetry)
Which shape has rotational symmetry but not line symmetry?
A shape does NOT need to have line symmetry in order to have rotational symmetry.For example, the letters N, Z and S can be rotated 180° to show symmetry, but none of these show line symmetry.When the folded part Line of Symmetry. Here I have folded a rectangle one way, and it didn't work.
Does z have rotational symmetry but no line symmetry?
The letters H and Z have both line symmetry and rotational symmetry
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.
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.
