Transformations

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					Transformations and Tesselations
By: Christine Berg
Edited By: VTHamilton

Transformation •Movements of a figure in a plane •May be a SLIDE, FLIP, or TURN

Translation Another name for a SLIDE
A A‟

C

B

C‟

B‟

A‟, B‟ and C‟ are explained in the next slide...

Image
The figure you get after a translation A A‟
Slide
C

Original

B

C‟

Image

B‟

The symbol „ is read “prime”. ABC has been moved to A‟B‟C‟.

Writing a Rule Finding the amount of movement LEFT and RIGHT and UP and DOWN

Writing a Rule
9 8
7
B

Right 4 (positive change in x)

6 5
4
A

B‟ C

Down 3 (negative change in y)

3 2 1
0 1 2 3
A‟

4

5

6

7

C‟

8

9

Writing a Rule Can be written as: •R4, D3 (Right 4, Down 3) •(x+4, y-3)

Reflection Another name for a FLIP
A A‟

C

B

B‟

C‟

Reflection Used to create SYMMETRY on the coordinate plane

Symmetry When one side of a figure is a MIRROR IMAGE of the other

Line of Reflection The line you reflect a figure across Ex: X or Y axis

Rotation Another name for a TURN
C‟

B‟

B
A‟

C

A

Rotation A transformation that turns about a fixed point

Center of Rotation The fixed point
C‟ B‟

B

C

A‟ A

(0,0)

Rotational Symmetry

When an image after rotation of 180 degrees or less fits exactly on the original

Rotating a Figure Measuring the degrees of rotation
C‟
B‟ B

A‟ C
A

90 degrees

Tessellation

A design that covers a plane with NO GAPS and NO OVERLAPS

Tessellation

Formed by a combination of TRANSLATIONS, REFLECTIONS, and ROTATIONS

Pure Tessellation

A tessellation that uses only ONE shape

Pure Tessellation

Pure Tessellation

Semiregular Tessellation

A design that covers a plane using more than one shape

Semiregular Tessellation

Semiregular Tessellation

Semiregular Tessellation

Semiregular Tessellation

Tessellation

Used famously in artwork by M.C. Escher


				
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posted:6/1/2008
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