PPT: Symmetry | Maths Olympiad Class 6 PDF Download

 Page 1


S y m m e t r y
Page 2


S y m m e t r y
Symmetry is an important concept in geometry, found
in nature and used in art, design, and architecture.
Introduction
A shape has line symmetry if it can be folded along a
line so that both sides match perfectly, like a mirror
reflection.
Examples of symmetry can be seen in flowers,
butterflies, and beehives, where both sides are identical.
Symmetry is not only common in daily life but also helps
create balanced and beautiful designs.
Page 3


S y m m e t r y
Symmetry is an important concept in geometry, found
in nature and used in art, design, and architecture.
Introduction
A shape has line symmetry if it can be folded along a
line so that both sides match perfectly, like a mirror
reflection.
Examples of symmetry can be seen in flowers,
butterflies, and beehives, where both sides are identical.
Symmetry is not only common in daily life but also helps
create balanced and beautiful designs.
A line of symmetry is when you fold a shape along a line
and both halves match perfectly.
Line of Symmetry
If the two halves do not match, it is not a line of
symmetry.
For example, if we fold a blue triangle along a dotted
line down the middle, the two sides will match exactly.
This dotted line is a line of symmetry for the triangle.
Folding the four puzzle pieces along the dotted line
won't align the sides, so it's not a line of symmetry.
Page 4


S y m m e t r y
Symmetry is an important concept in geometry, found
in nature and used in art, design, and architecture.
Introduction
A shape has line symmetry if it can be folded along a
line so that both sides match perfectly, like a mirror
reflection.
Examples of symmetry can be seen in flowers,
butterflies, and beehives, where both sides are identical.
Symmetry is not only common in daily life but also helps
create balanced and beautiful designs.
A line of symmetry is when you fold a shape along a line
and both halves match perfectly.
Line of Symmetry
If the two halves do not match, it is not a line of
symmetry.
For example, if we fold a blue triangle along a dotted
line down the middle, the two sides will match exactly.
This dotted line is a line of symmetry for the triangle.
Folding the four puzzle pieces along the dotted line
won't align the sides, so it's not a line of symmetry.
A square has four lines of symmetry.
Figures with more than one line of symmetry
A circle has infinite lines of symmetry.
A rectangle has two lines of symmetry (one vertical
and one horizontal).
A regular polygon has as many lines of symmetry as it
has sides.
A shape has line symmetry when one half is a mirror
image of the other.
Page 5


S y m m e t r y
Symmetry is an important concept in geometry, found
in nature and used in art, design, and architecture.
Introduction
A shape has line symmetry if it can be folded along a
line so that both sides match perfectly, like a mirror
reflection.
Examples of symmetry can be seen in flowers,
butterflies, and beehives, where both sides are identical.
Symmetry is not only common in daily life but also helps
create balanced and beautiful designs.
A line of symmetry is when you fold a shape along a line
and both halves match perfectly.
Line of Symmetry
If the two halves do not match, it is not a line of
symmetry.
For example, if we fold a blue triangle along a dotted
line down the middle, the two sides will match exactly.
This dotted line is a line of symmetry for the triangle.
Folding the four puzzle pieces along the dotted line
won't align the sides, so it's not a line of symmetry.
A square has four lines of symmetry.
Figures with more than one line of symmetry
A circle has infinite lines of symmetry.
A rectangle has two lines of symmetry (one vertical
and one horizontal).
A regular polygon has as many lines of symmetry as it
has sides.
A shape has line symmetry when one half is a mirror
image of the other.
Creating symmetrical shapes is a fun way to explore
symmetry.
Creating Shapes with Line Symmetry
There are several methods to generate such shapes,
and two popular techniques are using ink blots and
paper folding and cutting.