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Does a hexagon have both rotational and reflectional symmetry?
Yes it does. A regular hexagon will have both rotational and reflectional symmetry about its centre.
Does a pentagon have rotational symmetry?
Yes, a regular pentagon has rotational symmetry.
Why does a regular pentagon have a 5 fold rotational symmetry?
This is a little bit like asking why a square has four sides. A regular pentagon is defined in such a way as to require that it has 5-fold rotational symmetry.
What is the order of rotational symmetry of a regular pentagon?
5, you may think 1 but its actually 5
Every regular polygon has reflectional symmetry?
true
Does a regular pentagon have reflectional symmetry?
Yes a pentagon does have reflection symmetry
Does a hexagon have both rotational and reflectional symmetry?
Yes it does. A regular hexagon will have both rotational and reflectional symmetry about its centre.
Does a pentagon have rotational symmetry?
Yes, a regular pentagon has rotational symmetry.
If a shape is a regular pentagon with five sides what must be true?
It has reflectional symmetry It has five lines of symmetry It is symmetrical
What are the rotational symmetry of a 5 sided shape?
If it is a regular 5 sided pentagon then its order of rotational symmetry is 5
Why does a regular pentagon have a 5 fold rotational symmetry?
This is a little bit like asking why a square has four sides. A regular pentagon is defined in such a way as to require that it has 5-fold rotational symmetry.
The degree of rotation symmetry of a pentagon?
a pentagon has rotational symmetry if its a regular pentagon. if you add all 5 sides together you will get 360 degrees
Does a regular pentagon have rotational symmetry?
Yes, a regular pentagon has rotational symmetry. It can be rotated around its center by multiples of (72^\circ) (360° divided by 5) and still look the same. This means it has five distinct positions in which it can be rotated without appearing different. Thus, the regular pentagon exhibits rotational symmetry of order 5.
Is it true Only regular polygons with an even number of sides are symmetrical?
No, it's not true that only regular polygons with an even number of sides are symmetrical. Regular polygons, regardless of whether they have an even or odd number of sides, are symmetrical. They possess rotational symmetry and reflectional symmetry; for example, a regular triangle (3 sides) and a regular pentagon (5 sides) both exhibit symmetry.
Why is it 5 fold symmetry not possible?
A regular pentagon or a 5-pointed star have rotational symmetry of order 5.
What is the order of rotational symmetry of a regular pentagon?
5, you may think 1 but its actually 5
Does a regular n-gon have n reflectional symmetries and n rotational symmetries?
Yes, a regular n-gon has n reflectional symmetries and n rotational symmetries. The n reflectional symmetries correspond to the lines of symmetry that can be drawn through each vertex and the midpoint of the opposite side. The n rotational symmetries arise from the ability to rotate the n-gon by multiples of ( \frac{360^\circ}{n} ), returning it to an equivalent position. Thus, both types of symmetry are equal to n.
