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What classification of triangle has both line symmetry and rotational symmetry?
Only an equilateral triangle has rotational symmetry.
Does an isosceles triangle have line symmetry without rotational symmetry?
Yes it does
What quadrilateral has no line of symmetry but has no rotational symmetry?
parallelogram * * * * * A parallelogram does have rotational symmetry (order 2).
Is triangle and square have line of symmetry and rotational line of symmetry?
Yes, both triangles and squares have lines of symmetry and rotational symmetry. An equilateral triangle has three lines of symmetry and a rotational symmetry of order 3, meaning it can be rotated by 120 degrees and still look the same. A square has four lines of symmetry and a rotational symmetry of order 4, allowing it to be rotated by 90 degrees and still appear unchanged. Other types of triangles and quadrilaterals may have different numbers of symmetries based on their specific shapes.
What shape has one line of symmetry and two lines of rotational symmetry?
A triangle........I think
Does a triangle have a line symmetry rotational symmetry or both?
An equilateral triangle has both line symmetry and rotational symmetry. A non-equilateral isosceles triangle has line symmetry but not rotational symmetry. A scalene triangle has neither kind of symmetry.
What classification of triangle has both line symmetry and rotational symmetry?
Only an equilateral triangle has rotational symmetry.
How many rotational symmetry fold does a line have?
A line has rotational symmetry of order 2.
Does an isosceles triangle have line symmetry without rotational symmetry?
Yes it does
What quadrilateral has no line of symmetry but has no rotational symmetry?
parallelogram * * * * * A parallelogram does have rotational symmetry (order 2).
Is triangle and square have line of symmetry and rotational line of symmetry?
Yes, both triangles and squares have lines of symmetry and rotational symmetry. An equilateral triangle has three lines of symmetry and a rotational symmetry of order 3, meaning it can be rotated by 120 degrees and still look the same. A square has four lines of symmetry and a rotational symmetry of order 4, allowing it to be rotated by 90 degrees and still appear unchanged. Other types of triangles and quadrilaterals may have different numbers of symmetries based on their specific shapes.
What shape has one line of symmetry and two lines of rotational symmetry?
A triangle........I think
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.
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.
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 N have rotational symmetry but no line of symmetry?
Yes. it has 2 order of rotation symmetry
