2. TRANSFORMATION

3. Foldable

4. PRIME
Original New
IN MATH TERMS….
P -> P’

5. Matrix

6. On the back of your foldable
Matrix-Scalar Multiplication – multiply each element of the matrix by a real number
Given enlargement reduction Given a Picture A
(1,1)
B (1,4) C
(6,1) A’
(2,2)
B’ (2,8) C’
(12,2)
A’’
(.5,.5)
B’’ (.5,2)
C’’ (3,.5)
A B C X Y
A B C 2
A’ B’ C’
A B C
A’ B’ C’ =
1/2 =

8. REFLECTION Mirror line; any that is reflected across X-axis
(x,y) -> (x,-y)
A B C A’ B’ C’
x x
y y
Y-axis
(x,y) -> (-x,y)
A B C A’ B’ C’
x x
y y
Y=X
(x,y) -> (y,x)
A B C A’ B’ C’
x x
y y
Y=-x
(x,y) -> (-y,-x)
A B C A’ B’ C’
x x
y y Y
(2,4) B’
(6,4) C’
C (4,6)
C (4,6)
C’ (-4,6)
C (4,6)
C (4,6)
(2,2) A’ A
(2,2) B
(4,2) B’
(-4,2) A’
(-2,2) A
(2,2) B
(4,2)
B (4,2) X
A (2,2) A
(2,2) B
(4,2) B’
(4,-2) A
(-2,2) A’
(2,-2)
C’ (4,-6)
C’ (-6,4)
(-2,4) B’

10. ROTATION
a point which a figure is turned-about during a rotation transformation
90⁰
(x,y) -> (-y,x)
A B C A’ B’ C’
x x
y y
180⁰
(x,y) -> (-x,-y)
A B C A’ B’ C’
x x
y y
270⁰
(x,y) -> (y,-x)
A B C A’ B’ C’
x x
y y
360o is same Y
(-4,6) C’
(-4,2) B’
C (4,6)
C (4,6)
C (4,6) A
(2,2) B
(4,2) A
(2,2) A
(2,2) B
(4,2) A’
(-2,2) X
B (4,2)
(-4,-2) B’ A’
(-2,-2)
A(2,-2)
C’ (-4,-6)
C’ (6,-4) B’
(2,-4)

11. COMPARE AND CONTRAST

12. Tessellation
A collection of figures that cover a plane with no gaps or overlaps

14. x’ y’ (9,6) Translation x y Translate: (7, 3) Given: (x + 2, y + 3)
A  SLIDE
x y
Translate: (7, 3)
Given: (x + 2, y + 3)
x’ y’
(9,6)

15. What’s Missing?

16. symmetry
Rotational Symmetry: the figure can be mapped onto itself by a rotation of 180° or less about the origin center of the figure
Line of Symmetry: a figure that can be mapped onto itself by reflection in a line
= 360/# of symmetrical lines
60, 120, 180
45, 90, 135, 180
180

19. Dilation

20. Given a figure; Prime is always on top
Reduction - original size to small B’ A B
A B A’ B’
x x
Y y B
1 2
1 1 15
1/2 A 9
AB’ AB 15 9 5 3
Enlargement- original size to large A B
A B A’ B’
x x
Y y
4 8
4 4 2

21. Examples