RotationReflectionTranslation
The
grid
Quadrant 2(-x,+y)
Quadrant 3(-x,-y)
Quadrant 1(+x,+y)
Quadrant 4(+x,-y)
90⁰ CW Rotation (+4,-5)(+5,+4)
EndStart
90⁰ CCW Rotation (-4,+5)(+5,+4)
180⁰ CW Rotation (-5,-4)(+5,+4)
270⁰ CW Rotation (-4,+5)(+5,+4)
270⁰ CCW Rotation (+4,-5)(+5,+4)
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.
.
.
.
.
.
.
.
.
(-4,+5)
(-5,-4)
(+5,+4)
(+4,-5)
(+5,
+4)
Rot
ation
(ex#
1)
90⁰ CCW270⁰ CW
180⁰ 90⁰ CW270⁰ CCW
(-4,
+5)
Rot
ation
(ex#
2) (-4,+5)
(-5,-4)
(+5,+4)
(+4,-5)
90⁰ CW270⁰ CCW
180⁰90⁰ CCW270⁰ CW
(-4,+5)
(-5,-4)
(+5,+4)
(+4,-5)
(-5,
-4)
Rot
ation
(ex#
3)
90⁰ CW270⁰ CCW
180⁰
90⁰ CCW270⁰ CW
(+4,
-5)
Rot
ation
(ex#
4) (-4,+5)
(-5,-4)
(+5,+4)
(+4,-5)
90⁰ CW270⁰ CCW
180⁰
90⁰ CCW270⁰ CW
X-axis Reflection (+5,-4)(+5,+4)
EndStart
Y-axis Reflection (-5,+4)(+5,+4). .
.
.
(-5,+4)
(-5,-4)
(+5,+4)
(+5,-4)X-ax
is
Refl
ectio
n
(-5,+4)
(-5,-4)
(+5,+4)
(+5,-4)Y-ax
is
Refl
ectio
n
Tran
slati
on
( +5 , +4 )
( X , Y )
+3Up “3”
-9
Right “4” +4
Left “12” -12
Down “9”
( -3 , -2 )
Tran
slati
on (+5,+4)
Up “3”Right “4”
Left “12”Down “9”
(-3,-2)
.
..
..
Mathematics HomeworkThursday May 29, 2014
Problem #1• (-3,8)• Rotate 180⁰• Reflect over y-axis• Up “6”• Right “7”
Problem #4• (10,-13)• Left “7”• Up “9”• Reflect over x-axis• Rotate 90⁰ CCW• Reflect over y-axis
Problem #3• (-2,1)• Rotate 270⁰ CW• Reflect over y-axis• Down “7”• Right “4”• Rotate 90⁰ CW
Problem #2• (4,-7)• Rotate 90⁰ CCW• Reflect over x-axis• Down “11”• Left “12”
Problem #1• (-3,8)• Rotate 180⁰• Reflect over y-axis• Up “6”• Right “7”
Problem #2• (4,-7)• Rotate 90⁰ CCW• Reflect over x-axis• Down “11”• Left “12”
Problem #3• (-2,1)• Rotate 270⁰ CW• Reflect over y-axis• Down “7”• Right “4”• Rotate 90⁰ CW
Problem #4• (10,-13)• Left “7”• Up “9”• Reflect over x-axis• Rotate 90⁰ CCW• Reflect over y-axis
(x,y)
Rotation 90° 180° 270°Spin
ClockwiseCounter
Clockwise
(y,x) (x,y) (y,x)
ReflectionFlip
(x,y)
(x,y)
Over the x-axis Over the y-axis
(x,y) (x,y)
Right(x +n)
Left(x -n)
Up(y +n)
Down(y -n)
Translation Slide