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MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals I am learning to determine the sum of the interior angles of polygons I am learning to determine the measure of interior angles of polygons I am learning to determine the exterior angles of polygons I am learning to identify parallel lines and transversals I am learning to recognize angle properties of parallel lines and transversals I am learning to solve problems involving parallel lines Success Criteria ü I can recognize and apply the following properties of polygons and their angles: ü I can recognize and apply the following properties of parallel lines and their transversals:
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8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

Sep 09, 2018

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Page 1: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:LearningGoals

• Iamlearningtodeterminethesumoftheinterioranglesofpolygons• Iamlearningtodeterminethemeasureofinterioranglesofpolygons• Iamlearningtodeterminetheexterioranglesofpolygons• Iamlearningtoidentifyparallellinesandtransversals• Iamlearningtorecognizeanglepropertiesofparallellinesandtransversals• Iamlearningtosolveproblemsinvolvingparallellines

SuccessCriteria

ü Icanrecognizeandapplythefollowingpropertiesofpolygonsandtheirangles:

ü Icanrecognizeandapplythefollowingpropertiesofparallellinesandtheirtransversals:

Page 2: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:

ThesumoftheinterioranglesisALLOFTHEINSIDEANGLESADDEDTOGETHER.Tofindthesumoftheinterioranglesofapolygoncanbefoundby

a) Countingthesidesb) Subtract2c) Multiplyby180

Theequationthatshowsthisprocessis:

𝑆𝑢𝑚𝑜𝑓𝑖𝑛𝑡𝑒𝑟𝑖𝑜𝑟𝑎𝑛𝑔𝑙𝑒𝑠 = 180 𝑛 − 2 𝑤ℎ𝑒𝑟𝑒𝑛𝑖𝑠𝑡ℎ𝑒𝑛𝑢𝑚𝑏𝑒𝑟𝑜𝑓𝑠𝑖𝑑𝑒𝑠𝑜𝑟𝑎𝑛𝑔𝑙𝑒𝑠**RemembertofollowBEDMAS,whichmeansyoumustsubtract2firstthenmultiplyby180.

Page 3: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:

NOTE:Ifyouknowtheinteriorangles,youfindtheexterioranglesbysubtractingtheinterioranglefrom180°sincetheinteriorangleplustheexteriorangleaddto180°(straightangle).Also,theexterioranglesalwaysaddupto360°.YoucanalwaysfindanexteriorangleofREGULARpolygon(equalsidesandangle)bydividing360°bythenumberofsides.

Page 4: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:ShowYouKnow1,pg.381(Answersareinthebackofyourtextbook)

Page 5: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:ShowYouKnow2,Pg383(Answersareinthebackofyourtextbook)

Page 6: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:

Page 7: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:ShowyouKnow,Pg388(Answersareatthebackofthetextbook)

Apply,Pg.389-391(Answersareinthebackofthetextbook)

Page 8: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:

Page 9: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:SampleEQAOQuestions

Page 10: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:

Page 11: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:

Page 12: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:

Page 13: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date:

Page 14: 8.3 and 8.4 Angle properties in polygons and parallel and transversals · MFM1P 8.3 Angles of Quadrilaterals and other Polygons Name: 8.4 Angles of Parallel Lines Date: Learning Goals

MFM1P 8.3AnglesofQuadrilateralsandotherPolygons Name: 8.4AnglesofParallelLines Date: