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Why does an eqilayeral triangle have 3 lines of symmetry?
An equilateral triangle has 3 equal sides and with 3 lines of symmetry because each of its vertices is centrally perpendicular to its opposite sides
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.
No lines of symmetry four sides opposites sides equal and parallel?
The shape has to be a parallelogram since it has no lines of symmetry and all sides are equal and parallel
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.
Does an octagon have two lines of symmetry?
An octagon actually has eight lines of symmetry, not just two. These lines can be drawn by connecting the midpoints of opposite sides or by connecting vertices across the center of the shape. Regular octagons exhibit this symmetry, meaning all sides and angles are equal. Thus, they are highly symmetrical compared to shapes with fewer sides.
Why does an eqilayeral triangle have 3 lines of symmetry?
An equilateral triangle has 3 equal sides and with 3 lines of symmetry because each of its vertices is centrally perpendicular to its opposite sides
How much lines of symmetry do hexagons have?
There are 6 lines of symmetry if you count sides and not just vertices. (=
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.
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.
No lines of symmetry four sides opposites sides equal and parallel?
The shape has to be a parallelogram since it has no lines of symmetry and all sides are equal and parallel
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.
Does an octagon have two lines of symmetry?
An octagon actually has eight lines of symmetry, not just two. These lines can be drawn by connecting the midpoints of opposite sides or by connecting vertices across the center of the shape. Regular octagons exhibit this symmetry, meaning all sides and angles are equal. Thus, they are highly symmetrical compared to shapes with fewer sides.
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 figure has six lines of symmetry?
A hexagon, for example, has six lines of symmetry. Three of them go to opposite vertices, and three go to opposite sides.
Does the number of equal sides in a shape equal the number of lines of symmetry?
No. An isosceles triangle has two equal sides but only one line of symmetry.
What shapes have 3 lines of symmetry?
Only equilateral triangles and some irregular polygons of (3n) sides have 3 lines of symmetry. A regular polygon with n sides (or vertices) has n lines of symmetry. If n is even, there are n/2 lines of symmetry from vertex to opposite vertex and another n/2 from the middle of a side to the middle of the opposite side. If n is odd, there are n lines of symmetry from vertex to the midpoint of the opposite side.
DOES A TRIANGLE HAVE A 3 LINES OF SYMMETRY?
Only if it is an equilateral triangle which has 3 equal sides and 3 lines of symmetry
