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Geometry2Week2
FairfaxHighSchoolGeometryPLC
Geometry2Week2
FairfaxHighSchoolGeometryPLC
Week2,Lesson1EssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestion
WarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmup
11Warmup:Answerthefollowingquestions.
1.Warmup2. MultipleTransformations3.Worksheet
Iwillinvestigatetheeffectofmultipletransformationsonanobjectwithinthecoordinatesystem.
Geometry2Week2
FairfaxHighSchoolGeometryPLC
Createaflipbookwhichwillmimictheanimationprocess.
Chooseanobjectthatyouwishtoanimate.
Maketheobjectmovefrompagetopagebyperformingreflections,rotations,andtranslationsofyourobjectineachsubsequentdrawing.
Youwillbeevaluatedonthefollowing:movementofanobjectfromonepagetoanotherandtheuseofreflections,rotations,andtranslationsthroughoutthebook.
ThisprojectcanbecompletedbyhandorusingaPowerPointpresentation.
Geometry2Project#1TransformationFlipBook
FlipBook4.pptx
PowerPointExamplehttp://www.youtubeclean.com/watch?v=FH97UerMW6I
ByHandExample
Geometry TransformationsFlip Book
Fairfax High School Geometry PLC 2012
23
24
25
26
27
28
29
30
31
32
33
To Be Continued
Cliff Hanger Get it?
34
SMART Notebook
http://www.youtubeclean.com/watch?v=fh97uermw6i
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
MultipleTransformations
(x,y)(x+6,y2)
DrawthefinalfigureExplaineachtransformation
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
MultipleTransformations
(x,y)(y,x)
DrawthefinalfigureExplaineachtransformation
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
MultipleTransformations
(x,y)(x,y)(x+3,y2)
DrawthefinalfigureExplaineachtransformation
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
(x,y)(x,y)(x,y)(x+5,y1)
MultipleTransformations DrawthefinalfigureExplaineachtransformation
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
(x,y)(x,y)(x+5,y1)
MultipleTransformations DrawthefinalfigureExplaineachtransformation
Geometry2Week2
FairfaxHighSchoolGeometryPLC
ClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosure
ClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosure
RightSide...
LeftSide...
Writeasummaryaboutmultipletransformationsperformedonapolygoninthecoordinatesystem.
Geometry2Week2
FairfaxHighSchoolGeometryPLC
ExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtra
ExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtra
12AllTransformations.pdf
W I2w0b1U2o mKIu1t8aF 0SJoIfNtXw2aPrreF WL6LFC4.D A AAJl1lR irWikgehgt0s2 Tr4eUs7etr7vqexd1.U Q oMjaYdDeN 1weiXt1h2 lIknvfvianEiQtGeW GGueFo6mte3tirLyh.8 Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________All Transformations
Graph the image of the figure using the transformation given.
1) rotation 90 counterclockwise about theorigin
x
y
J
Z
L
2) translation: 4 units right and 1 unit down
x
y
Y
F
G
3) translation: 1 unit right and 1 unit up
x
y
E
J
T
M
4) reflection across the x-axis
x
y
M
C J
K
Write a rule to describe each transformation.
5)
x
y
H
C
B
H'
C'
B'
6)
x
y
P
D
E
I
D'
E'
I' P'
-1-
a X2U0I1r26 tKcuctYa8 eS2oofDtewgaxrVeA 2LkLDCL.Z 6 mAplVlj zr8iFg9hCtfsw Er0eqslefr7vPetdc.O p MMzaUdyeo ewsiWt7h9 EIJnOf0izngiPt4eW dGWeXoJmue9terVyR.U Worksheet by Kuta Software LLC
7)
x
y
E
R
F
I
R'
F'
I'
E'
8)
x
y
X
B
G
X'
B'
G'
Graph the image of the figure using the transformation given.
9) rotation 90 clockwise about the origin
B(2, 0), C(4, 3), Z(3, 4), X(1, 4)
x
y
10) reflection across
y =
x
K(5, 2), A(4, 1), I(0, 1), J(2, 4)
x
y
Find the coordinates of the vertices of each figure after the given transformation.
11) rotation 180 about the origin
E(2, 2), J(1, 2), R(3, 3), S(5, 2)12) reflection across
y = 2
J(1, 3), U(0, 5), R(1, 5), C(3, 2)
13) translation: 7 units right and 1 unit down
J(3, 1), F(2, 3), N(2, 0)14) translation: 6 units right and 3 units down
S(3, 3), C(1, 4), W(2, 1)
-2-
n f2P0C1H2R HKvu2t8an AS5olf3t1wJalrveU 6LPLQCM.Z t yADlulA jrsivgFhCtcsK 2rredsJekrFvoe5dZ.k O qMJaud4eV hwLiftIhk zIHnRfIiCnqiltveZ oGke9o8m6eSt1r1yp.d Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________All Transformations
Graph the image of the figure using the transformation given.
1) rotation 90 counterclockwise about theorigin
x
y
J
Z
L
J'
Z'
L'
2) translation: 4 units right and 1 unit down
x
y
Y
F
G
Y'
F'
G'
3) translation: 1 unit right and 1 unit up
x
y
E
J
T
M
E'
J'
T'
M'
4) reflection across the x-axis
x
y
M
C J
K
C' J'
K'
M'
Write a rule to describe each transformation.
5)
x
y
H
C
B
H'
C'
B'
translation: 1 unit right
6)
x
y
P
D
E
I
D'
E'
I' P'
reflection across
x = 3
-1-
b Y230B1M25 jK6uPt3aF hS7oAfHtxwkaGrgeH YLqLoCT.Z D MABlplT nrNiZgShftksp SrzeYsZegr2vkeXdr.h w zMlaydWeA CwkiftkhF 5I8nZfriYnuiwtle2 jGae8oEmMeitprYy7.H Worksheet by Kuta Software LLC
7)
x
y
E
R
F
I
R'
F'
I'
E'
reflection across the x-axis
8)
x
y
X
B
G
X'
B'
G'
rotation 180 about the origin
Graph the image of the figure using the transformation given.
9) rotation 90 clockwise about the origin
B(2, 0), C(4, 3), Z(3, 4), X(1, 4)
x
y
B'
C'
Z'
X'
B
C
Z X
10) reflection across
y =
x
K(5, 2), A(4, 1), I(0, 1), J(2, 4)
x
y
A'
I'
J'
K'
K
A
I
J
Find the coordinates of the vertices of each figure after the given transformation.
11) rotation 180 about the origin
E(2, 2), J(1, 2), R(3, 3), S(5, 2)
E'(2, 2), J'(1, 2), R'(3, 3), S'(5, 2)
12) reflection across
y = 2
J(1, 3), U(0, 5), R(1, 5), C(3, 2)
U'(0, 1), R'(1, 1), C'(3, 2), J'(1, 1)
13) translation: 7 units right and 1 unit down
J(3, 1), F(2, 3), N(2, 0)
J'(4, 0), F'(5, 2), N'(5, 1)
14) translation: 6 units right and 3 units down
S(3, 3), C(1, 4), W(2, 1)
S'(3, 0), C'(5, 1), W'(4, 4)
-2-
Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com
SMART Notebook
Geometry2Week2
FairfaxHighSchoolGeometryPLC
Week2,Lesson2EssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestion
WarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmup
13Warmup:Answerthefollowingquestions.
1.Warmup2. MultipleTransformations3.Worksheet
Iwillinvestigatetheeffectofmultipletransformationsonanobjectwithinthecoordinatesystem.
FlipBook
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
MultipleTransformations DrawthefinalfigureExplaineachtransformation
(x,y)(y,x)(x,y)(x+3,y+2)
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
1
MultipleTransformationsWritetheequationforthetransformation(s)
(x,y)
2
3
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
(x,y)(x7,y)(x,y)(x+2,y1)(y,x)
MultipleTransformations DrawthefinalfigureExplaineachtransformation
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
MultipleTransformationsWritetheequationforthetransformation(s)
(x,y)
1
2
3
Geometry2Week2
FairfaxHighSchoolGeometryPLC
InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation
MultipleTransformationsWritetheequationforthetransformation(s)
(x,y)youpicktheshape
Geometry2Week2
FairfaxHighSchoolGeometryPLC
ClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosure
ClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosure
RightSide...
LeftSide...
Writeasummaryaboutmultipletransformationsperformedonapolygoninthecoordinatesystem.
Geometry2Week2
FairfaxHighSchoolGeometryPLC
ExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtra
ExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtra
Geometry2Week2
FairfaxHighSchoolGeometryPLC
Week2,Lesson3EssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestion
WarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmup
151.Warmup2. MultipleTransformations3.Worksheet
Iwillinvestigatetheeffectofmultipletransformationsonanobjectwithinthecoordinatesystem.
GraphtheimageofsquareKLMNafteratranslation10unitsrightand9unitsdown.
FlipBook
Geometry2Week2
FairfaxHighSchoolGeometryPLC
ICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivity
ICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivity
http://www.ixl.com/math/geometry/translationsgraphtheimage
FigureDEhasverticesD(1,3)andE(3,3).
GraphDEanditsimageafterthe
indicatedtransformation.
ICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivity
http://www.ixl.com/math/geometry/translations-graph-the-image
Geometry2Week2
FairfaxHighSchoolGeometryPLC
ICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivity
ICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivity
TriangleABChasverticesA(1,3),B(2,1)andC(3,2).
Graph4ABCanditsimageaftertheindicatedglidereflection.
Geometry2Week2
FairfaxHighSchoolGeometryPLC
ICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivity
ICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivity
Geometry2Week2
FairfaxHighSchoolGeometryPLC
ClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosure
ClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosure
RightSide...
LeftSide...
Writeasummaryaboutmultipletransformationsperformedonapolygoninthecoordinatesystem.
Originalfigure
FiguresA,B,andCareimagesoftheoriginalfigurebelow.Tellwhichfigureshowstherotationdescribed.
Geometry2Week2
FairfaxHighSchoolGeometryPLC
ExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtra
ExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtraPracticeExtra
TRANSFORMATIONS.doc
TRANSFORMATIONS
-15
-10
-5
0
5
10
15
-15
-10
-5
0
5
10
15
Describe fully the transformations needed to move:
1. A to B
11.E to L
2. A to D
12.D to K
3. A to F
13.I to A
4. E to A
14.G to I
5. I to K
15.D to G
6. J to H
16.K to F
7. I to M
17.F to D
8. A to L
18.C to H
9. C to A
19.M to B
10. L to D
20.K to M
F
A
x
C
H
EMBED Excel.Chart.8 \s EMBED Excel.Chart.8 \s
y
B
G
D
E
L
K
I
J
M
_1158398272.xls
Chart1
-10
-10
10
10
Sheet1
-10
-10
10
10
Sheet1
0
0
0
0
0
0
0
0
Sheet2
Sheet3
_1158396451.xls
Chart1
-10
-10
10
10
Sheet1
-10
-10
10
10
Sheet1
0
0
0
0
0
0
0
0
Sheet2
Sheet3
SMART Notebook
Geometry2Week2
FairfaxHighSchoolGeometryPLC
Week2,Lesson4EssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestion
Youneed1pieceofextrapaperandawritingutensil
or
or
IwilldemonstratemyknowledgeofGeometricTransformations
3WeekPracticeTest
do not copy!
do not copy!FlipBook
Geometry2Week2
FairfaxHighSchoolGeometryPLC
EndofWeek2
Attachments
12AllTransformations.pdf
FlipBook4.pptx
TRANSFORMATIONS.doc
W I2w0b1U2o mKIu1t8aF 0SJoIfNtXw2aPrreF WL6LFC4.D A AAJl1lR irWikgehgt0s2 Tr4eUs7etr7vqexd1.U Q oMjaYdDeN 1weiXt1h2 lIknvfvianEiQtGeW GGueFo6mte3tirLyh.8 Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________All Transformations
Graph the image of the figure using the transformation given.
1) rotation 90 counterclockwise about theorigin
x
y
J
Z
L
2) translation: 4 units right and 1 unit down
x
y
Y
F
G
3) translation: 1 unit right and 1 unit up
x
y
E
J
T
M
4) reflection across the x-axis
x
y
M
C J
K
Write a rule to describe each transformation.
5)
x
y
H
C
B
H'
C'
B'
6)
x
y
P
D
E
I
D'
E'
I' P'
-1-
a X2U0I1r26 tKcuctYa8 eS2oofDtewgaxrVeA 2LkLDCL.Z 6 mAplVlj zr8iFg9hCtfsw Er0eqslefr7vPetdc.O p MMzaUdyeo ewsiWt7h9 EIJnOf0izngiPt4eW dGWeXoJmue9terVyR.U Worksheet by Kuta Software LLC
7)
x
y
E
R
F
I
R'
F'
I'
E'
8)
x
y
X
B
G
X'
B'
G'
Graph the image of the figure using the transformation given.
9) rotation 90 clockwise about the origin
B(2, 0), C(4, 3), Z(3, 4), X(1, 4)
x
y
10) reflection across
y =
x
K(5, 2), A(4, 1), I(0, 1), J(2, 4)
x
y
Find the coordinates of the vertices of each figure after the given transformation.
11) rotation 180 about the origin
E(2, 2), J(1, 2), R(3, 3), S(5, 2)12) reflection across
y = 2
J(1, 3), U(0, 5), R(1, 5), C(3, 2)
13) translation: 7 units right and 1 unit down
J(3, 1), F(2, 3), N(2, 0)14) translation: 6 units right and 3 units down
S(3, 3), C(1, 4), W(2, 1)
-2-
n f2P0C1H2R HKvu2t8an AS5olf3t1wJalrveU 6LPLQCM.Z t yADlulA jrsivgFhCtcsK 2rredsJekrFvoe5dZ.k O qMJaud4eV hwLiftIhk zIHnRfIiCnqiltveZ oGke9o8m6eSt1r1yp.d Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________All Transformations
Graph the image of the figure using the transformation given.
1) rotation 90 counterclockwise about theorigin
x
y
J
Z
L
J'
Z'
L'
2) translation: 4 units right and 1 unit down
x
y
Y
F
G
Y'
F'
G'
3) translation: 1 unit right and 1 unit up
x
y
E
J
T
M
E'
J'
T'
M'
4) reflection across the x-axis
x
y
M
C J
K
C' J'
K'
M'
Write a rule to describe each transformation.
5)
x
y
H
C
B
H'
C'
B'
translation: 1 unit right
6)
x
y
P
D
E
I
D'
E'
I' P'
reflection across
x = 3
-1-
b Y230B1M25 jK6uPt3aF hS7oAfHtxwkaGrgeH YLqLoCT.Z D MABlplT nrNiZgShftksp SrzeYsZegr2vkeXdr.h w zMlaydWeA CwkiftkhF 5I8nZfriYnuiwtle2 jGae8oEmMeitprYy7.H Worksheet by Kuta Software LLC
7)
x
y
E
R
F
I
R'
F'
I'
E'
reflection across the x-axis
8)
x
y
X
B
G
X'
B'
G'
rotation 180 about the origin
Graph the image of the figure using the transformation given.
9) rotation 90 clockwise about the origin
B(2, 0), C(4, 3), Z(3, 4), X(1, 4)
x
y
B'
C'
Z'
X'
B
C
Z X
10) reflection across
y =
x
K(5, 2), A(4, 1), I(0, 1), J(2, 4)
x
y
A'
I'
J'
K'
K
A
I
J
Find the coordinates of the vertices of each figure after the given transformation.
11) rotation 180 about the origin
E(2, 2), J(1, 2), R(3, 3), S(5, 2)
E'(2, 2), J'(1, 2), R'(3, 3), S'(5, 2)
12) reflection across
y = 2
J(1, 3), U(0, 5), R(1, 5), C(3, 2)
U'(0, 1), R'(1, 1), C'(3, 2), J'(1, 1)
13) translation: 7 units right and 1 unit down
J(3, 1), F(2, 3), N(2, 0)
J'(4, 0), F'(5, 2), N'(5, 1)
14) translation: 6 units right and 3 units down
S(3, 3), C(1, 4), W(2, 1)
S'(3, 0), C'(5, 1), W'(4, 4)
-2-
Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com
SMART Notebook
Geometry TransformationsFlip Book
Fairfax High School Geometry PLC 2012
23
24
25
26
27
28
29
30
31
32
33
To Be Continued
Cliff Hanger Get it?
34
SMART Notebook
TRANSFORMATIONS
-15
-10
-5
0
5
10
15
-15
-10
-5
0
5
10
15
Describe fully the transformations needed to move:
1. A to B
11.E to L
2. A to D
12.D to K
3. A to F
13.I to A
4. E to A
14.G to I
5. I to K
15.D to G
6. J to H
16.K to F
7. I to M
17.F to D
8. A to L
18.C to H
9. C to A
19.M to B
10. L to D
20.K to M
F
A
x
C
H
EMBED Excel.Chart.8 \s EMBED Excel.Chart.8 \s
y
B
G
D
E
L
K
I
J
M
_1158398272.xls
Chart1
-10
-10
10
10
Sheet1
-10
-10
10
10
Sheet1
0
0
0
0
0
0
0
0
Sheet2
Sheet3
_1158396451.xls
Chart1
-10
-10
10
10
Sheet1
-10
-10
10
10
Sheet1
0
0
0
0
0
0
0
0
Sheet2
Sheet3
SMART Notebook
Page 1: PlanningPage 2: Agenda WupPage 3: Dec 10-2:50 PMPage 4: InvestigationPage 5: InvestigationPage 6: InvestigationPage 7: InvestigationPage 8: InvestigationPage 9: ClosurePage 10: Extra PracticePage 11: Agenda WupPage 12: InvestigationPage 13: InvestigationPage 14: InvestigationPage 15: InvestigationPage 16: InvestigationPage 17: ClosurePage 18: Extra PracticePage 19: Agenda WupPage 20: ICAPage 21: ICAPage 22: ICAPage 23: ClosurePage 24: Extra PracticePage 25: Agenda WupPage 26: End of WeekAttachments Page 1