Upload
makayla-rowe
View
224
Download
3
Tags:
Embed Size (px)
Citation preview
Transformationsand Tesselations
By: Christine BergEdited By: VTHamilton
Transformation•Movements of a figure in a plane
•May be a SLIDE, FLIP, or TURN
Translation
Another name for a SLIDE
A
BC
A’
C’ B’
A’, B’ and C’ are explained in the next slide...
ImageThe figure you get after a translation
Original Image
SlideA A’
B B’C C’
The symbol ‘ is read “prime”. ABC has been moved to A’B’C’. A’B’C’ is the image of ABC.
Writing a Rule
Finding the amount of
movement LEFT and RIGHT and UP and DOWN
Writing a Rule9
8
7
6
5
4
3
2
1
0 1 2 3 4 5 6 7 8 9
Right 4 (positive change in x)
Down 3 (negative change in y)
A
A’
B
B’
C
C’
Writing a RuleCan be written as:
•R4, D3(Right 4, Down 3)
•(x+4, y-3)
Reflection
Another name for a FLIP
A A’
C C’B B’
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
acrossEx: X or Y axis
Rotation
Another name for a TURN
B
B’
C
C’
A
A’
Rotation
A transformation that turns about
a fixed point
Center of Rotation
The fixed point
(0,0)
AA’
C
C’
B
B’
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
90 degreesA
A’
C
C’
B
B’
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