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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.
What are all of the characteristics of a hexagon?
Has 6 sides, This figure is a polygon, Has six lines of symmetry.
How many line of symmetry does a regular polygon with x sides have?
A regular polygon with x sides has x lines of symmetry. Each line of symmetry passes through a vertex and the midpoint of the opposite side. For example, a regular hexagon has 6 lines of symmetry, one for each pair of opposite sides. The formula for calculating the number of lines of symmetry in a regular polygon is equal to the number of sides x.
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.
What are the attributes of a polygon?
A polygon has sides A polygon can have any number of side A polygon can not be curved so a circle is not a polygon Regular Polygon Has congruent sides and angles Has lines of symmetry Irregular Polygon Doesn't have any equal sides or angles Doesn't have any lines of symmetry
How many lines of symmetry does a polygon has?
A polygon need not have any lines of symmetry. The maximum number of lines of symmetry is attained if the polygon is regular; and this is the number of sides (or vertices) of the polygon. If a regular polygon has an even number of sides, then the lines of symmetry are those joining opposite vertices, and those joining the mid-points of opposite sides. If the polygon has an odd number of sides/vertices, the lines of symmetry are those joining each vertex to the mid-point of the opposite side.
How many axes of symmetry does a polygon have?
A polygon need not have any axes of symmetry. It can have at most n axes where n is the number of sides that the polygon has.
Is it possible to draw a hexagon with no lines of symmetry?
an irregular hexagon? yes, any polygon with 6 sides
How many lines of symmetry does a polygon with 12 sides?
A polygon with 12 sides, also known as a dodecagon, has 12 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 opposite sides. This symmetry reflects the regularity of the dodecagon, assuming it is a regular polygon.
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
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.
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.
