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Is there a relationship in a regular polygon between number of sides and lines of symmetry?
Yes, in a regular polygon, the number of sides is directly related to the number of lines of symmetry. A regular polygon with ( n ) sides has exactly ( n ) lines of symmetry. Each line of symmetry can be drawn through a vertex and the midpoint of the opposite side or through the midpoints of two opposite sides, reflecting the polygon across these lines.
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What polygon has nine lines of symmetry?
A polygon with nine lines of symmetry is a regular nonagon, which is a nine-sided polygon. In a regular nonagon, each vertex can be reflected over a line that passes through the center and a vertex, as well as lines that bisect the angles between the vertices. This symmetry results in a total of nine lines of symmetry.
What regular polygon has exactly 5 lines of symmetry?
Regular pentagon
How many lines of How many lines of symmetry does a regular polygon with 32 sides havesymmetry How many lines of symmetry does a regular polygon with 32 sides havedoes a regular polygon with 32 sides?
A regular polygon with 32 sides has 32 lines of symmetry. Each line of symmetry passes through a vertex and the midpoint of the opposite side or through the midpoints of two opposite sides. This symmetry results from the equal length and angles of all sides and vertices in the polygon.
Which regular polygon has 6 lines of symmetry?
hexagon
What is the number of lines of symmetry of a regular polygon?
3
What relationship exist between the number of sides on a regular polygon and the number of lines of symmetry?
They are the same.
What is the rule for the number lines of symmetry of any regular polygon?
Number of lines of symmetry = Number of sides of the regular polygon
What regular polygons have rotational symmetry?
All of them have rotational symmetry because all the sides and angles have to be the same in order for the polygon to be a regular polygon
What is another name for equiangular polygon?
Regular polygon Equilateral polygon Polygon with rotational symmetry
How many lines of symmetry would a 10-sided regular polygon have?
10 lines. Regular polygon of "x" sides has "x" Lines of Symmetry
What regular polygon has exactly 5 lines of symmetry?
Regular pentagon
Which regular polygon has 6 lines of symmetry?
hexagon
What is the number of lines of symmetry of a regular polygon?
3
What shapes that have roational symmetry?
Any regular polygon
How many lines of symmetry does a regular polygon have?
A regular polygon has a number of lines of symmetry equal to the number of its sides. For example, a regular pentagon has 5 lines of symmetry, while a regular hexagon has 6. Each line of symmetry divides the polygon into two congruent halves, reflecting the shape across the line.
What is the greatest number of lines of symmetry a polygon with 14 sides can have?
A polygon with 14 sides can have at most 14 lines of symmetry. This would occur if the polygon was a regular polygon (i.e. all its sides would have to be equal and all its angles would have to be equal). The lines of symmetry would run between the midpoints of opposite sides and between opposite vertices.
Which regular polygon has 4 lines of symmetry?
A square has four lines of symmetry!
