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Microsoft Word - Worksheet Triangle sum and Exterior Angle.doc Worksheet Triangle Sum and Exterior Angle Theorem Name Period I Find the value of x1 x 2 x 3 x 58 3x-1x47 x 96 21 314 x 5 x 6 x 100 9421x 34 2x 3 51 60 2x7 x 8 x 9 x 2x-2523x43x 2xx x 510 x 11 x 12 x x3x-1710 x23x x x 40 2x-513 x 14 x 15 x x 434465 50xx 8057 x16 x 17 x 18 x x122 6x-7103-xx 2x19 x 20 x 5056 53xx 62 80II Fin...

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Exterior Angle ExampleSum of Exterior angles 3600Sum of the Exterior anglesExterior angleNumber of sides36006600Find the Exterior Angle for each regular polygon Round the answer to nearest whole number1 2 3Number of sides Number of sides Number of sidesEach Exterior Angle Each Exterior Angle Each Exterior angle4 5 6Number of sides Number of sides Number of sidesEach Exterior Angle Each Exterior an...

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Extra Review Practice 4-1Classifying Triangles Classify each triangle by Its Angle measuresLook over 4-1 pg 216-221 4-2 pg 223-230 4-3 pg 231-237 4-4 pg 242-2494-5 pg 252-259 4-6 pg 260-265 4-8 pg 273-2791 A 2 3 1031Practice Pg 239 1-14 pre ap add 16 4r 30497frpg 281 1 3-6 10 11 pre ap add 2 7 12pg 284-287 1-11 14 15 28 29 30 pre ap add 12 13 16-21G - ch Tvs e cA-L eUse the flgure to classify each...

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MCRBG-0101-PE.qxd MCRBG-0401-PE qxd 3-16-2001 2 35 PM Page 61LESSONNAME DATE 4 1 Practice with ExamplesFor use with pages 194 201GOAL Classify triangles by their sides and angles and find Angle measures intrianglesVOCABULARYA triangle is a figure formed by three segments joining three non-collinear pointsAn equilateral triangle has three congruent sidesAn isosceles triangle has at least two congr...

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Name WORKSHEET 10 Upward Bound Summer 2011 GeometryOBJECTIVEI will be able to use the Triangle Exterior Angle Theorem to solve problemsNEW CONCEPTNew Vocabulary Exterior Angle remote interior angles43 33 4 12 4 5 1221 5Exterior Angle Exterior Angle Exterior angleRemote interior angles Remote interior angles Remote interior anglesThe Triangle Exterior Angle TheoremNOTES AND EXAMPLESExample 1 In ea...

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5.2 Notes.notebook 5 2 Notes notebook November 19 20135 2 Notes notebook November 19 20135 2 Notes notebook November 19 2013STATEMENTS REASONS5 2 Notes notebook November 19 20135 2 Exterior Angle Theorem ProvingLines are ParallelTHM Exterior Angle Inequality Theorem The measure of anexterior Angle of a triangle is greater than the measure of eitherremote interior angle5 2 Notes notebook November 1...

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PDF -- Angle Trisection and Morley's Theorem Angle Trisection and Morley s TheoremBY JEAN-MARIE LABORDE GRENOBLE FRANCE DANNY GREMILLION DALLAS TXathematicians have tried for many years to devise aM construction for trisecting an Angle All have failedas predicted and proved by Pierre Laurent Wantzelin 1837 Trisection of an Angle is not achievable with com-pass and ruler While addition subtraction ...

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finalsol.dvi Math 467 Fulling 10 December 2010Final ExaminationName1 20 pts Rearrange these names into historical order earliest to latestThales Klein Euclid Lambert LobachevskyThales Euclid Lambert Lobachevsky Klein2 30 pts State the converse of the Alternate Internal Angle Theorem and prove that itis equivalent to the Euclidean parallel postulate HESee Greeberg pp 164 and 175 and the student-wri...

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WSL Print Job Chapter 4 Review Name 1 Classify OPQ as equilateral isosceles or 6 Find the measures of all three angles of thescalene triangleP 3x 492x8 10O 9 Q x 312 Name an acute triangleB7 Find the measures of angles A B and C35 5530 115 65 60A CD3 How many acute angles can a scalene trianglehave Explain your reasoning 8 Find the measure of A below4 How many acute angles can an isoscelestriangle...

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ion Theorem for a pencilof intersecting lines i e c b a dSimilarly three circles of a tangent pencil of coaxal circles can be inverted into threelines of a parallel pencil of lines Since inversion in these three circles becomes re-ection in three parallel lines we have the Three Refection Theorem for a pencil ofparallel lines i e c b a dThen in both cases when we invert back the re ection d become

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AMB121Fgeom.DVI AMB121F Geometry NotesCongruent TrianglesTwo triangles are congruent if they are equal in all respects Thus threesides and three angles of one triangle are equal to 3 sides and three anglesof the other triangle when the triangles are congruent In symbols we writeABC ABC if the two triangles are congruentA DB C E FAB DE BCEF and AC DF thus the two tringles are congruentProving two t...

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Class Note Unit 3 1 - Lines and angles Name Period Date Not all lines and planes intersectPlanes that do not intersect are parallel planesLines that are in the same plane and do not intersect are parallelThe symbol shows that lines or planes are parallel AB CDmeans Line AB is parallel to line CDLines that are not in the same plane and do not intersect are skewParallel planesplane ABDC plane EFHG...

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Microsoft Word - 10MGE1201.doc GeometryHS MathematicsUnit 12Lesson 01Suggested Duration 7 daysExploring PolygonsLesson SynopsisIn this lesson students use data collection and patterns to generate formulas for various properties of regular polygonsincluding interior Angle measures and sums Exterior Angle measures and sums and perimeter and area Studentsexplore formulas associated with properties of...

**Size:**311 KB**Author:**none**Creation time:**Tue Feb 9 07:33:23 2010**Pages:**49

Chapter 1 Notes: Line and Angle Relationships Chapters 2 and 3 Notes Parallel Lines and TrianglesCONSTRUCTIONS6 To construct the line that is perpendicular to a given line from a point not on the given line7 To construct the line parallel to a given line from a point not on that linePOSTULATES10 Parallel Postulate Through a point not on a line exactly one line is parallel to the given line11 If t...

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GAIOsw07DNGch03049-071.qxd Name Class DateLesson 3-5 The Polygon Angle-Sum TheoremsLesson Objectives NAEP 2005 Strand Geometry1 Classify polygons Topic Relationships Among Geometric Figures2 Find the sums of the measures of theinterior and Exterior angles of Local Standards polygonsVocabulary and Key ConceptsTheorem 3-14 Polygon Angle-Sum TheoremAll rights reservedThe sum of the measures of the an...

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Geometric Theorems Summary Sheet Geometric Theorems Summary SheetSupplementary Opposite Complementary AnglesTheorem Diagram DescriptionSupplementary Angles - supplementary angles add to 180SA - angles on a straight line aresupplementaryx yx y 180Opposite Angles - opposite angles are equalOAT x x ya by a bComplementary Angles - complementary angles add up to 90CA x y 90xyParallel Line Theorems PLTT...

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structed objects of unit distance apart using a ruler placedso that it passes through some known constructed point PHere is Archimedes trisection method see Figure 1 Given an acute Angle betweenrays r and s meeting at the point O construct a circle K of radius one at O and thenextend r to produce a line that includes a diameter of K The circle K meets the ray sat a point P Now place a ruler throug

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Name Date Class LESSON Reteach6-1 Properties and Attributes of PolygonsThe parts of a polygon are named on the Number of Sides Polygonquadrilateral below3 trianglediagonal4 quadrilateralside 5 pentagonvertex6 hexagonYou can name a polygon by the number 7 heptagonof its sides 8 octagonA regular polygon has all sides congruent 9 nonagonand all angles congruent A polygon is convex 10 decagonif all it...

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Microsoft Word - 940125 A1 Solutions SOLUTIONSSECTION A1 D If x is an irrational number then x can be any positive real number 12 C x-1 x2 -1 x-1 x-1 x 1 x-1 1 x 1 x-1 -xSo x-1 is a factor 13 B The remainder Theorem tells us that if a polynomial p x is divided by x-a thenthe remainder is equal to p a which is non zero since x-a is not a factor of p x14 C 108oLet POQ 2xThen QOR 3xSince PR QS inter...

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ne line parallelto l through P and more than one line parallel to m through Q2 The Alternate Interior Angles Theorem is equivalent to the Euclidean FParallel Postulate3 The defect of a convex parallelogram GABCD is always the sum of the Tdefects of two triangles ABD and CBD4 The scalene inequality is used to compare relative sizes of angles or Tsides in a single triangle5 The hinge Theorem does no

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ve and deductive reasoningDayDate HW Assignment Section covered- topicsAssigned8 Pg 47 8-31 36 45 50 56 1 6 Angle pairs9 Pg 55 18-24 27-29 34 35 38 39 1 7- Problem solving with area45-47 perimeter and circumferenceFYI- Test on Thursday Oct 3rd10 Review section 2 1- Pg 75 11-17 46- 2 1 Conditional statements-writing in49 if-then form-11 Pg 75 19-24 32-34 38 39 45 55 More on 2 1 conditional statemen

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Untitled StarterState the assumption necessary to start an indirect proof of eachstatement1 If 8 is a factor of n then 4 is a factor of n2 m M m N3 If 3a 7 28 then a 74 FGH MNO5 KLM is a right triangle1 If 8 is a factor of n then 4 isnot a factor of n2 m M m N3 If 3a 7 28 then a 74 FGH MNOAnswers5 KLM is not a right triangleMar 5 8 30 AMGeometry Section 6 1 Angles of PolygonsObjectives 1 Find and ...

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3-2 Section 3-3 3-4 Section 3-5 3-6 Section 3-7Angles Angle Measure The Angle Complementary PerpendicularSCOS 2 02 SCOS 2 02 Addition and LinesPostulate Supplementary SCOS Alignment2 02 2 04Adjacent Angles Anglesand CongruentLinear Pairs of AnglesAngles SCOS 2 02SCOS 2 0229 30 31Review TestChapter 3 Chapter 3AssessmentSeptember 2004Sun Mon Tue Wed Thu Fri Sat1 2 3 4Section 4-1 4-2 Section 4-3 4-4

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Review Chapter 4-Congruent Triangles Name Complete the following1 What parts of an equiangular triangle are equal2 If corresponding parts of triangles are congruent what relationship do the triangles have3 The 3 angles of any triangle sum to what number4 What is the measure of each Angle in an equiangular triangle5 What are the equal sides of an isosceles triangle called6 What is the Exterior ang...

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1213Week16.xlsx 11 26 2012-11 30 2012BHS Lesson PlanWeek ofTeacher Mr GrossHonors Geometry Geometry AP CalculusBlocks 1 3 6 Blocks 2 and 7 Block 5Students will discover the polygon Angle sum conjecture and Students will discover the polygon Angle sum conjecture andOBJ the Exterior angles Theorem the Exterior angles theoremStudents will solve optimization problems5 1 Notes 5 1 Notes 4 4 NotesPROC 5...

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Slide 1 Geometry Trig 2 Name Unit 4 Review Packet page 1 Date Part 1 Polygons Review1 Answer the following questions about a regular decagona How many sides does the polygon have 10b What is the sum of the measures of the interior angles 1440c What is the measure of each interior angles 144d What is the sum of the measures of the Exterior angles 360e What is the measure of each Exterior Angle 36f ...

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1 Geometry Mid Term Review Sheet 1 Solve for x and y given the figure below 2 Solve for x and y given the figure below1153x 2y3y 5 2x y 3y 105x 203x 273 Solve for x and y given the figure below 4 ABCDE is a regular pentagon Find themeasures of each of the numberedangles A120 3x 10 EB 51 32 4 63y 5C D F5 Given the figure below ABCD is a 6 Find the values of x y and z in theparallelogram m 1 40 m 4 ...

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Discovering Geometry An Investigative Approach DG4PS89305 qxd 11 1 06 10 21 AM Page 32Lesson 5 1 Polygon Sum ConjectureName Period DateIn Exercises 1 and 2 find each lettered Angle measure1 a b c 2 a b c d e d e f d ee d 97 fab26 b c 8544ca3 One Exterior Angle of a regular polygon measures 10 What isthe measure of each interior Angle How many sides does thepolygon have4 The sum of the mea...

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M A Geom 3rd P 2nd term Sh 8 F R The Mathematics DepartmentStage 3rd PrepDate2nd Term Final Revision Geometry1 Choose the correct answer1 The central Angle whose measure 120 subtends an arc with length thecircumference of the circle2 1 1 1i ii iii iv3 4 3 212 The length of the arc which represents the circumference of a circle4ri 90 ii r cm iii 160 iv cm213 The length of an arc in a circle r then...

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