Symmetry 131015035956-phpapp01 (1) (1)

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Transcript of Symmetry 131015035956-phpapp01 (1) (1)

Symmetry

Order of Rotation24Lines of symmetry 21

• There are some examples of shapes that are tricky when considering symmetry. A typical parallelogram actually cannot be folded in half even though it appears to have two 'equal halves'.

• We can see both kinds of symmetry around us; rotational as well as line symmetry.

• Lets see some of the interesting topics related to symmetry.

Common Errors

Letters and Line Symmetry.

A B C D E

F G J K L N P Q S Z

H I M OT U V W X YThere are some letters

which do not have any line of symmetry.

H

N

SX

I

O

Z

rotational symmetry at order 1

rotational

symmetry at

order 2

rotational symmetry at order 2

rotational symmetry at order 2

rotational symmetry at order 2

rotational symmetry at order 2

rotational symmetry at order 1

Letters and Rotational Symmetry.

• This flower has 1 line of symmetry and a rotational symmetry of Order 5 as it matches itself 5 times.

Nature & Line Symmetry.

Order 4+4 lines of symmetry

Order 3+0 line of symmetry.

Order 2+0 line of symmetry.

Order 3+0 lines of symmetry. Order 2+1 line of symmetry.

Order 1+1 line of symmetry.

Road Signs & Symmetry.

Monuments & Symmetry.Symmetry exists in architecture all around the world. One of the best known examples of this is the Taj Mahal.

If an object is reflected in water many people believethe image has line symmetry.

But is it really a 'mirror image'? Is it really symmetrical? What are your thoughts? The image can be rotational symmetry.

Indonesia Japan

Finland

Micronesia Aboriginal Flag of AustraliaUnited Nations

British Canada

Flags & Line Symmetry.

Flags and Rotational Symmetry.Rotational symmetry-

yes(2)

Rotational symmetry-yes(2)

Rotational symmetry-yes(1)

Rotational symmetry-yes(1)

Rotational symmetry-yes(2)

Rotational symmetry-yes(1)

Rotational symmetry-yes(1)

Rotational symmetry-yes(1)

Math symbols & Symmetry.

Masks,tattoos &

Symmetry.

The Memorah is used during the Jewish feast of Chanukah.

The Dharma Wheel is a Buddhist  symbol. 

Muslim buildings often have symmetry.

The Jewish Star of David.The Christian Cross

L.S-1 

R.S-0

L.S-4

R.S-0L.S-1

R.S-8

L.S-6 R.S-6

L.S-1 R.S-0

Religious Symbols & Symmetry.

L.S-Line of SymmetryR.S-Rotational Symmetry

Words & rotational symmetry.

Objects & Rotational Symmetry. Order 5• Often the picture

cards in a playing deck have rotational symmetry.

• Since all the toppings are placed so evenly, this pizzahas rotational symmetry of Order 6.

Order 7

Order 2

Click on the shapes to see how many lines of symmetry they have.