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What predictions can be made about the number of lines of symmetry in a polygon that has 6sides pf the same length?
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∙ 12y ago
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∙ 12y ago
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How many lines of symmetry does a plolygon have?
It depends on how many sides that it has and whether of not it is regular (all the lines of the polygon are of equal length if it is a regular polygon). For regular polygons, the number of symmetry lines is the number of sides if number of sides is an odd number. Otherwise, the number of symmetry lines is double the number of sides. A square has 4 sides and 8 symmetry lines; a triangle has 3 sides and 3 symmetry lines.
How many lines of symmetry does a hexagonal prism have?
Regular polygons have lines of symmetry equal to the number of sides/angles that they possess so a hexagon would have 6 lines of symmetry. (: * * * * * However, the question is not about a polygon but a polyhedron! A prism with regual hexagonal bases has six lines of symmetry at the bases, but it also has a line of symmetry along the centre of its length. Furthermore, there are infinitely many lines of symmetry in the plane that divides it halfway along its length.
What polygon has an angle of rotation of 180 degrees?
Consider an irregular polygon with an even number of sides - 2n. If the sides 1 and n+1 are of the same length, sides 2 and n+2, sides 3 and n + 3 etc and if the corresponding angles are the same, then the polygon will have a rotational symmetry of 180 degrees.
Why does a star have five lines of symmetry?
A geometric star with five lines of symmetry is made by connecting the corners of an equal length sided pentagon. Since the pentagon has five equal sides, each line connecting the vertices (corners) will also be equal in length. Not equal however, to the sides of the pentagon. It is also called a pentagram.It is also a polygon.
What is a polygon with all sides of equal length?
A regular polygon
What prediction can be made about the number lines of symmetry in a polygon that has 6 sides of the same length?
It will have six lines of symmetry.
How many lines of symmetry does a plolygon have?
It depends on how many sides that it has and whether of not it is regular (all the lines of the polygon are of equal length if it is a regular polygon). For regular polygons, the number of symmetry lines is the number of sides if number of sides is an odd number. Otherwise, the number of symmetry lines is double the number of sides. A square has 4 sides and 8 symmetry lines; a triangle has 3 sides and 3 symmetry lines.
Does a regular polygon have rotational symmetry?
Yes, because if a regular polygon is turned around a specific point (the angle of rotation) and matches up again, it has rotation symmetry. For example, a hexagon is a regular polygon with six sides. All sides are the same length and the same size. When you turn it around the angle of rotation, it matches with the next side. Therefore, all regular polygons have rotational symmetry. Hope this helps!
What is a eqaulateral Polygon?
An equilateral polygon is a polygon where the length of all the sides of the polygon are the same length.
How many lines of symmetry does a hexagonal prism have?
Regular polygons have lines of symmetry equal to the number of sides/angles that they possess so a hexagon would have 6 lines of symmetry. (: * * * * * However, the question is not about a polygon but a polyhedron! A prism with regual hexagonal bases has six lines of symmetry at the bases, but it also has a line of symmetry along the centre of its length. Furthermore, there are infinitely many lines of symmetry in the plane that divides it halfway along its length.
What kind of symmetry does a line have?
If it is a straight line then it has lateral symmetry along its length. It also has symmetry at every point along its length.
How do you find the permeter of a polygon?
The perimeter of a polygon is the sum of the length of each of its sides. If the polygon is a regular polygon the you can calculate the perimeter as [number of sides] *[the length of one side]
What are facts about a rhombus?
A rhombus is a polygon. A rhombus is a 4 sided shape and an 'equilateral quadrilateral' (all sides are the same length). Opposite angles are equal in a rhombus. A rhombus can tessellate. A rhombus has two lines of symmetry, joining its opposite corners. A rhombus also has rotational symmetry. A kite is a rhombus, and has rotational symmetry of both 180 degrees as well as 360 degrees, A rhombus is not a regular polygon as all angles have to be congruent for it to be classed as regular.
What polygon has an angle of rotation of 180 degrees?
Consider an irregular polygon with an even number of sides - 2n. If the sides 1 and n+1 are of the same length, sides 2 and n+2, sides 3 and n + 3 etc and if the corresponding angles are the same, then the polygon will have a rotational symmetry of 180 degrees.
Why does a star have five lines of symmetry?
A geometric star with five lines of symmetry is made by connecting the corners of an equal length sided pentagon. Since the pentagon has five equal sides, each line connecting the vertices (corners) will also be equal in length. Not equal however, to the sides of the pentagon. It is also called a pentagram.It is also a polygon.
A polygon with sides of equal length is called?
A regular polygon.
What is a polygon with all sides of equal length?
A regular polygon
