how many lines of symmetry does given figure have ? draw these line
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Lines of Symmetry of Plane Shapes
Line of Symmetry
dog mirror
Here my dog "Flame" has her face
made perfectly symmetrical with a bit
of photo magic.
The white line down the center is the
Line of Symmetry
Read more at Reflection Symmetry.
Folding Test
You can find if a shape has a Line of Symmetry by folding it.
When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.
Here I have folded a rectangle one way, and it didn't work.
symmetry folding no
So this is not a Line of Symmetry
But when I try it this way, it does work (the folded part sits perfectly on top, all edges matching):
symmetry folding yes
So this is a Line of Symmetry
Triangles
A Triangle can have 3, or 1 or no lines of symmetry:
symmetry equilateral triangle symmetry isosceles triangle no symmetry scalene triangle
Equilateral Triangle
(all sides equal,
all angles equal) Isosceles Triangle
(two sides equal,
two angles equal) Scalene Triangle
(no sides equal,
no angles equal)
3 Lines of Symmetry 1 Line of Symmetry No Lines of Symmetry
Quadrilaterals
Different types of Quadrilaterals (a 4-sided plane shape):
symmetry square symmetry rectangle symmetry irregular quad
Square
(all sides equal,
all angles 90°) Rectangle
(opposite sides equal,
all angles 90°) Irregular
Quadrilateral
4 Lines of Symmetry 2 Lines of Symmetry No Lines of Symmetry
symmetry kite symmetry rhombus
Kite
Rhombus
(all sides equal length)
1 Line of Symmetry 2 Lines of Symmetry
Regular Polygons
A regular polygon has all sides equal, and all angles equal:
symmetry equilateral triangle An Equilateral Triangle (3 sides)
has 3 Lines of Symmetry
symmetry square A Square (4 sides)
has 4 Lines of Symmetry
symmetry regular pentagon A Regular Pentagon (5 sides)
has 5 Lines of Symmetry
symmetry regular hexagon A Regular Hexagon (6 sides)
has 6 Lines of Symmetry
symmetry regular septagon A Regular Heptagon (7 sides)
has 7 Lines of Symmetry
symmetry regular octagon A Regular Octagon (8 sides)
has 8 Lines of Symmetry
And the pattern continues:
A regular polygon of 9 sides has 9 Lines of Symmetry
A regular polygon of 10 sides has 10 Lines of Symmetry
...
A regular polygon of "n" sides has "n" Lines of Symmetry
Circle
A line (drawn at any angle) that goes through its center is a Line of Symmetry.
So a Circle has infinite Lines of Symmetry.
circle symmetry
Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10
Reflection Symmetry
Symmetry
Geometry Index
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