Parallel Lines Cut by a Transversal - 7TH & 8TH...
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Geometry P a r a l l e l L i n e s C u t b y a T r a n s v e r s a l A Mathemagical Puzzle FREEBIE A l i g n e d t o t h e C o m m o n C o r e S t a t e S t a n d a r d s 8 . G . A . 5 Grades 7-10
Transcript of Parallel Lines Cut by a Transversal - 7TH & 8TH...
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Geometry
Parallel Lines Cut by a
Transversal A Mathemagical Puzzle
FREEBIE
Aligned to the Common Core State Standards
8.G.A.5 Grades
7-10
Teacher’sGuide
CCSS8.G.A.5
Useinformalargumentstoestablishfactsabouttheanglesumandexterior
angleoftriangles,abouttheanglescreatedwhenparallellinesarecutbya
transversal,andtheangle-anglecriterionforsimilarityoftriangles.For
example,arrangethreecopiesofthesametrianglesothatthesumofthethree
anglesappearstoformaline,andgiveanargumentintermsoftransversals
whythisisso.
Objective
• Studentswillbeabletodetermineanglerelationshipsandmeasureswhen
parallellinesarecutbyatransversal.
Materials
• “ParallelLinesCutbyaTransversal”Worksheet
• Projectorand/orDocumentCamera(optional)
Procedure
• Givestudentsabout5minutestoworkthroughthepuzzleontheirown.
• Havestudentsworkinpairsorsmallgroupsforabout10moreminutes.
• Discussasalargegroup.Here’smypersonalprocedure:
– Iprojectthepuzzleonthefrontboard.
– ThenIcallonestudentuptotheboardtoXillin3anglesmeasures
thattheyknowbasedontheinformationalreadyXilledin.
– Iaskacoupleofdifferentstudentstoprovidevocabularywordsto
describepairsofanglemeasuresthatwerejustaddedtothefront
board.
– Repeatuntilallanglesmeasureshavebeendiscussed.
Name:______________________________________________________________Class:__________Date:____________________
ParallelLinesCutbyaTransversalAMathemagicalPuzzle
Directions:Determinethemeasureofeachofthelabeledanglesgiventhatlinesmandnareparallel.
© Free to Discover (Amanda Nix) – 2016
52o 44o m
n
t u
1 = ___ 2 = ___
3 = ___ 4 = ___ 5 = ___ 6 = ___
7 = ___
8 = ___ 9 = ___
10 = ___
11 = ___ 12 = ___ 13 = ___ 14 = ___
15 = ___ 16 = ___ 17 = ___ 18 = ___
Name:______________________________________________________________Class:__________Date:____________________
ParallelLinesCutbyaTransversalAMathemagicalPuzzle–AnswerKey
Directions:Determinethemeasureofeachofthelabeledanglesgiventhatlinesmandnareparallel.
© Free to Discover (Amanda Nix) – 2016
52o 44o m
n
t u
1 = 128o 2 = 136o
3 = 128o 4 = 52o 5 = 44o 6 = 136o
7 = 84o
8 = 96o 9 = 96o
10 = 84o
11 = 136o 12 = 44o 13 = 52o 14 = 128o
15 = 44o 16 = 136o 17 = 128o 18 = 52o
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