# Line Symmetry

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```					    Symmetry:
A Visual Presentation
Line Symmetry
   A shape has line symmetry when one
half of it is the mirror image of the other
half.

   Symmetry exists all around us and many
people see it as being a thing of
beauty.
To be a line of symmetry,
the shape must have two
halves that match exactly.

When you trace a heart onto
a piece of folded paper,
and then cut it out, the two half
hearts make a whole heart.
The two halves are symmetrical.
Which of these flags have a
line of symmetry?

United States of America

Do they have symmetry?
Line Symmetry exists in
nature but you may not
have noticed.
At the beach, there are
a variety of shells with line
symmetry.
Under the sea there are also
many symmetrical objects
such as these crabs

and this starfish.
Animals that have Line
Symmetry

Here are a few more great examples of
mirror image in the animal kingdom.
REFLECTION IN WATER

If an object is
reflected in water, it
is considered to
have line symmetry
along the waterline.
The Taj Mahal

Symmetry exists in architecture all around
the world. The best known example of this
is the Taj Mahal.
This photograph shows 2 lines of symmetry.
One vertical, the other along the waterline.

(Notice how the prayer towers, called minarets, are reflected in the
water and side to side).
Shapes and Symmetry

Do equilateral triangles have
lines of symmetry? How many?
Investigate by folding and
make a conjecture!
An equilateral triangle has 3 lines of
symmetry.
Shapes and Symmetry

Do squares have lines of
symmetry? How many?
Investigate by folding and
make a conjecture!
A square has 4 lines of symmetry.
Shapes and Symmetry

Do regular pentagons have
lines of symmetry? How many?
Investigate by folding and
make a conjecture!
A regular pentagon has 5 lines of
symmetry.
Shapes and Symmetry

Do regular hexagons have lines
of symmetry? How many?
Investigate by folding and
make a conjecture!
A regular hexagon has 6 lines of
symmetry .
Shapes and Symmetry

Do trapezoids have lines of
symmetry? How many would
you guess? Investigate by
folding and make a
conjecture! What would
happen if the trapezoid was
not isosceles?
An isosceles trapezoid has 1 line of
symmetry.
Shapes and Symmetry

Do parallelograms have lines of
symmetry? How many would
you guess? Investigate by
folding and make a
conjecture! What would
happen if the parallelogram
was a rhombus?
A parallelogram has no lines of
symmetry, but a rhombus has 2 lines of
symmetry.
You can look to see if your name
has symmetrical letters in it too!

A B C D E FG
HIJKLMN
OPQRST
Infinite
number
UVWXYZ

```
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