geometry 2 - week 2 - pc\|macimages.pcmac.org/sisfiles/schools/nc/onslowcounty/whiteoakhigh... ·...

Geometry2Week2

FairfaxHighSchoolGeometryPLC

Geometry2Week2


Week2,Lesson1EssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestionEssentialQuestion

WarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmupWarmup

11Warmup:Answerthefollowingquestions.

1.Warmup2. MultipleTransformations3.Worksheet

Iwillinvestigatetheeffectofmultipletransformationsonanobjectwithinthecoordinatesystem.

Geometry2Week2


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


InvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigationInvestigation

MultipleTransformations

(x,y)(x+6,y2)

DrawthefinalfigureExplaineachtransformation

Geometry2Week2




(x,y)(y,x)


Geometry2Week2




(x,y)(x,y)(x+3,y2)


Geometry2Week2



(x,y)(x,y)(x,y)(x+5,y1)

MultipleTransformations DrawthefinalfigureExplaineachtransformation

Geometry2Week2



(x,y)(x,y)(x+5,y1)


Geometry2Week2


ClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosureClosure


RightSide...

LeftSide...

Writeasummaryaboutmultipletransformationsperformedonapolygoninthecoordinatesystem.

Geometry2Week2


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'


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)


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





x

y

J

Z

L

J'

Z'

L'


x

y

Y

F

G

Y'

F'

G'


x

y

E

J

T

M

E'

J'

T'

M'


x

y

M

C J

K

C' J'

K'

M'


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



B(2, 0), C(4, 3), Z(3, 4), X(1, 4)

x

y

B'

C'

Z'

X'

B

C

Z X


y =

x

K(5, 2), A(4, 1), I(0, 1), J(2, 4)

x

y

A'

I'

J'

K'

K

A

I

J



E(2, 2), J(1, 2), R(3, 3), S(5, 2)

E'(2, 2), J'(1, 2), R'(3, 3), S'(5, 2)


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)


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




13Warmup:Answerthefollowingquestions.



FlipBook

Geometry2Week2




(x,y)(y,x)(x,y)(x+3,y+2)

Geometry2Week2



1

MultipleTransformationsWritetheequationforthetransformation(s)

(x,y)

2

3

Geometry2Week2



(x,y)(x7,y)(x,y)(x+2,y1)(y,x)


Geometry2Week2




(x,y)

1

2

3

Geometry2Week2




(x,y)youpicktheshape

Geometry2Week2




RightSide...

LeftSide...


Geometry2Week2




Geometry2Week2






GraphtheimageofsquareKLMNafteratranslation10unitsrightand9unitsdown.

FlipBook

Geometry2Week2


ICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivityICA:InClassActivity


http://www.ixl.com/math/geometry/translationsgraphtheimage

FigureDEhasverticesD(1,3)andE(3,3).

GraphDEanditsimageafterthe

indicatedtransformation.


http://www.ixl.com/math/geometry/translations-graph-the-image

Geometry2Week2




TriangleABChasverticesA(1,3),B(2,1)andC(3,2).

Graph4ABCanditsimageaftertheindicatedglidereflection.

Geometry2Week2




Geometry2Week2




RightSide...

LeftSide...


Originalfigure

FiguresA,B,andCareimagesoftheoriginalfigurebelow.Tellwhichfigureshowstherotationdescribed.

Geometry2Week2




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



Youneed1pieceofextrapaperandawritingutensil

or

or

IwilldemonstratemyknowledgeofGeometricTransformations

3WeekPracticeTest

do not copy!

do not copy!FlipBook

Geometry2Week2


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





x

y

J

Z

L


x

y

Y

F

G


x

y

E

J

T

M


x

y

M

C J

K


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'



B(2, 0), C(4, 3), Z(3, 4), X(1, 4)

x

y


y =

x

K(5, 2), A(4, 1), I(0, 1), J(2, 4)

x

y



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)


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





x

y

J

Z

L

J'

Z'

L'


x

y

Y

F

G

Y'

F'

G'


x

y

E

J

T

M

E'

J'

T'

M'


x

y

M

C J

K

C' J'

K'

M'


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



B(2, 0), C(4, 3), Z(3, 4), X(1, 4)

x

y

B'

C'

Z'

X'

B

C

Z X


y =

x

K(5, 2), A(4, 1), I(0, 1), J(2, 4)

x

y

A'

I'

J'

K'

K

A

I

J



E(2, 2), J(1, 2), R(3, 3), S(5, 2)

E'(2, 2), J'(1, 2), R'(3, 3), S'(5, 2)


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)


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

geometry 2 - week 2 - pc\|macimages.pcmac.org/sisfiles/schools/nc/onslowcounty/whiteoakhigh... ·...

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