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A line has rotational symmetry?
two-fold
Which shape has line of symmetry but not rotational symmetry?
There are infinitely many such shapes:Take any odd-sided regular polygonMove one vertex away from the side opposite it in a perpendicular direction any distance you like.The resulting shape has one line of symmetry (from the vertex moved to the centre of the opposite side) and no rotational symmetry.Done to an equilateral triangle (a regular "3-agon") this creates an isosceles triangle.
Is there a quadrilateral with line symmetry and rotational symmetry not more than one?
Yes. a kite is one of them
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.
Why linear symmetry is called reflection symmetry?
Because linear symmetry defines a line such that the shape is unchanged when REFLECTED in that line.
Does a shape have to be a regular polygon in order to have rotational symmetry?
A line segment would have rotational symmetry.
Can a shape have rotational symmetry and line symmetry?
Yes. Any equilateral shape can have both rotational and line 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.
Which shape line of symmetry but no rotational symmetry?
A semicircle.
What shape has a line of symmetry and rotational symmetry?
circle
What shape has no line of symmetry and rotational symmetry with order 3?
The triskelion (the three legs) on the Isle of Man flag.
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.
What quadrilateral has no line of symmetry but has no rotational symmetry?
parallelogram * * * * * A parallelogram does have rotational symmetry (order 2).
Can you have line of symmetry but not rotational symmetry?
Yes, it is possible to have a shape that has a line of symmetry but does not have rotational symmetry. An example is the letter "K", which has a vertical line of symmetry but cannot be rotated to match its original orientation.
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.
