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What quadrilateral shape has opposite angles squal but no line of symmetry?
Parrallelogram (it has rotational symmetry but no lines of symmetry)
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 N have rotational symmetry but no line symmetry?
Yes, the capital letter N has rotational symmetry but no lines of symmetry:
Does a shape have to be a regular polygon in order to have rotational symmetry?
A line segment would have rotational symmetry.
What quadrilateral shape has opposite angles squal but no line of symmetry?
Parrallelogram (it has rotational symmetry but no lines of symmetry)
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.
What shape has a line of symmetry and rotational symmetry?
circle
Does N have rotational symmetry but no line symmetry?
Yes, the capital letter N has rotational symmetry but no lines of 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.
Can a figure have line symmetry and not rotational symmetry?
Yes. An ellipse (oval) has two lines of symmetry, but not a rotational symmetry. A parabola has one line and no rotation.
Does a shape have to be a regular polygon in order to have rotational symmetry?
A line segment would have rotational symmetry.
How many lines of symetry does an airplane have?
None. For a 3-dimensional object, a line of symmetry implies rotational symmetry and an aircraft has no line of rotational symmetry.
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.
