Geometry Rules. Triangles:
|
|
- Deborah Wilkerson
- 5 years ago
- Views:
Transcription
1 Triangles: Geometry Rules 1. Types of Triangles: By Sides: Scalene - no congruent sides Isosceles - 2 congruent sides Equilateral - 3 congruent sides By Angles: Acute - all acute angles Right - one right angle Obtuse - one obtuse angle Equiangular - 3 congruent angles - each are Pythagorean Theorem for Right Triangles 3. Interior and Exterior Angles of Triangles = = = 4 4. Isosceles Triangle Base angles are equal
2 5. 3 sides of a Triangle: If you add any 2 sides the result must be larger than the 3rd side. Possibilities for 3rd side when given 2 sides: Subtract the two sides < missing side < Add the two sides 6. Relationship between sides and angles in a triangle: The largest angle is across from the longest side. The smallest angle is across from the shortest side. The longest side is across from the largest angle. The smallest side is across from the smallest angle. 7. Side Splitter Theorem: If a line joining 2 sides of a is parallel to the 3rd side, then the following proportion can be made: 8. Midsegments: D and E are midpoints of AB and AC DE is parallel to BC and DE = 1 2 BC 9. Centroid: The point where all 3 medians of the triangle meet.
3 Special relationship of lengths within the median: The lengths of the median are in a 2:1 ratio 2x + x = length of median 10. Orthocenter - the point where all 3 altitudes of the triangle meet. 11. Incenter - the point where all the angle bisectors of the triangle meet. It is also the center of the circle that is inscribed in the triangle. 12. Circumcenter - the point where all the perpendicular bisectors of the sides of the triangle meet. It is also the center of the circle that is circumscribed around the triangle. Coordinate Geometry 13. Midpoint - Used to find the middle of a segment or location of the perpendicular bisector Also used to find the midpoints of the diagonals of parallelograms
4 14. Distance Formula - used to find the length of a segment Also used to prove that lengths are = (like the opposite sides of a parallelogram) 15. Slope Formula - used to find the slope of a line or segment Also used to prove lines parallel if slopes are = or used to prove lines perpendicular if slopes are negative reciprocals or used to show the existence of a right angle if the slopes are negative reciprocals 16. Equation of a line - Two forms Slope-Intercept Form: If you need to find the slope or y-intercept use: y = mx + b m = slope b = y-intercept Make sure that you have solved the equation for y. (y must be by itself on one side of the equation!) Point-Slope Form: If you need to write the equation of a line: y - y 1 = m(x - x 1 ) m = slope (x 1,y 1 ) is a point on the line Example: Write the equation of a line with slope = 3 and goes through the point (1, -4) y - y 1 = m(x - x 1 ) plug in values for m and x 1 and y 1 y - (-4) = 3(x - 1) Take care of double signs y + 4 = 3(x - 1) Solving for y at this point is optional. Example: Write the equation of a line that contains the points (-2,1) and (4,5) First find the slope - Rule #15 m = = 4 6 = 2 3 y - y 1 = m(x - x 1 ) plug in values for m and x 1 and y 1 y - 1 = 2 3 (x - -2) Take care of double signs y - 1 = 2 3 (x + 2)
5 17. Circles: Equation of a circle: Example: Circle with center (2,-5), radius 3 Polygons 18. Regular Polygons: all angles = and all sides = 19. Sum of interior angles = 180(n - 2) where n is the number of sides 180(n 2) 20. Each interior angle = n for regular polygons 21. Sum of exterior angles = Each exterior angle = n for regular polygons Angles, Arcs and Segments in Circles Inscribed Angle = 1 2 Arc 25. Angle formed by tangent/chord = 1 2 Arc
6 26. Angle formed by 2 chords = half the sum of the arcs 27. Angle formed by tangent/secant, or 2 secants, or 2 tangents = half the difference of arcs
7 28. Parallel chords intercept equal arcs: 29. A tangent and a radius are alway perpendicular at the point of tangency. 30. A radius that is perpendicular to a chord, bisects the chord and it s arcs. 31. Intersecting Chords Rule: a b = c d
8 32. Secant - Secant Rule: (whole secant) (external part) = (whole secant) (external part) b a = d c 33. Secant - Tangent Rule: (whole secant) (external part) = (tangent) 2 ( c + b) b = a Hat Rule: Two Tangents are equal Quadrilaterals and Parallel Lines 35. Parallel lines and transversals Alternate interior angles two angles in the interior of the parallel lines, and on opposite (alternate) sides of the transversal. Alternate interior angles are non-adjacent and congruent.
9 Alternate exterior angles two angles in the exterior of the parallel lines, and on opposite (alternate) sides of the transversal. Alternate exterior angles are non-adjacent and congruent. Corresponding angles two angles, one in the interior and one in the exterior, that are on the same side of the transversal. Corresponding angles are non-adjacent and congruent. 36. Parallelograms: I have: - 2 sets of parallel sides - 2 sets of congruent sides - opposite angles congruent - consecutive angles supplementary - diagonals bisect each other - diagonals form 2 congruent triangles
10 37. Rectangle: same as parallelogram plus add 4 right angles and congruent diagonals 38. Rhombus: Same as parallelogram plus add 4 sides, diagonals are perpendicular and they bisect the opposite angles. 39. Square: All of the above properties (rules 36-38) 40. Transformational Geometry
11 Reflections: Glide Reflections: Translations: Rotations: 41. Composition of Transformations
12 42. Properties of Transformations: Orientation: Orientation refers to the arrangement of points, relative to one another, after a transformation has occurred. For example, the reference made to the direction traversed (clockwise or counterclockwise) when traveling around a geometric figure. Isometry: An isometry is a transformation of the plane that preserves length. A direct isometry preserves orientation or order - the letters on the diagram go in the same clockwise or counterclockwise direction on the figure and its image. An opposite isometry changes the order (such as clockwise changes to counterclockwise). 43. Quadratic - Linear Systems To solve by graphing: y= (x+3) 2-1 x + y = 2 Solve each equation for y and then put one equation in Y1 and the second in Y2 ZOOM 6 (to see in a standard window) If you can see all points of intersection then: 2nd TRACE 5 Press ENTER 3 times This will give you the (x,y) value of one intersection point. If there is another, 2nd TRACE 5 Press ENTER twice then arrow over to the other intersection point ENTER
13 44. Constructions Bisecting an Angle Perpendicular Bisector Parallel lines Perpendicular Line through a Point Equilateral Triangle 45. Locus Equidistant from a Point Equidistant from a line Equidistant from 2 points Equidistant from 2 Parallel Lines Equidistant from 2 intersecting lines
14 46. Similarity Polygons are similar if their corresponding (matching) angles are congruent (equal in measure) and the ratio of their corresponding sides are in proportion. Perimeters: Perimeter of ABC = AB Perimeter of DFE DE Areas: Area of ABC = AB 2 Area of DFE DE Right Triangle Similarity
15 48. Logic Negations: In logic, a negation of a simple statement can usually be formed by placing the word "not into the original statement. The negation will always have the opposite truth value of the original statement. Under negation, what was TRUE, will become FALSE or what was FALSE, will become TRUE. Inverse: I Negate negate both sides of the conditonal Converse: Change Order switch the order of the conditonal Contrapositive: Change Order and Negate this is always logically equivalent to the original conditional 49. Truth Values Conjunction And True when both parts are true Disjunction Or False when both parts are false Conditional If/Then False when T F Biconditional If and only If True when both parts are the same. 50. Proving Triangles Congruent SSS SAS
16 ASA AAS HL 51. Proving Triangles Similar AA
MANHATTAN HUNTER SCIENCE HIGH SCHOOL GEOMETRY CURRICULUM
COORDINATE Geometry Plotting points on the coordinate plane. Using the Distance Formula: Investigate, and apply the Pythagorean Theorem as it relates to the distance formula. (G.GPE.7, 8.G.B.7, 8.G.B.8)
More informationPostulates, Theorems, and Corollaries. Chapter 1
Chapter 1 Post. 1-1-1 Through any two points there is exactly one line. Post. 1-1-2 Through any three noncollinear points there is exactly one plane containing them. Post. 1-1-3 If two points lie in a
More informationVideos, Constructions, Definitions, Postulates, Theorems, and Properties
Videos, Constructions, Definitions, Postulates, Theorems, and Properties Videos Proof Overview: http://tinyurl.com/riehlproof Modules 9 and 10: http://tinyurl.com/riehlproof2 Module 9 Review: http://tinyurl.com/module9livelesson-recording
More informationWAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ACCELERATED GEOMETRY (June 2014)
UNIT: Chapter 1 Essentials of Geometry UNIT : How do we describe and measure geometric figures? Identify Points, Lines, and Planes (1.1) How do you name geometric figures? Undefined Terms Point Line Plane
More informationGeometry (H) Worksheet: 1st Semester Review:True/False, Always/Sometimes/Never
1stSemesterReviewTrueFalse.nb 1 Geometry (H) Worksheet: 1st Semester Review:True/False, Always/Sometimes/Never Classify each statement as TRUE or FALSE. 1. Three given points are always coplanar. 2. A
More informationSuggested List of Mathematical Language. Geometry
Suggested List of Mathematical Language Geometry Problem Solving A additive property of equality algorithm apply constraints construct discover explore generalization inductive reasoning parameters reason
More informationGeometry SOL Study Sheet. 1. Slope: ! y 1 x 2. m = y 2. ! x Midpoint: + x y 2 2. midpoint = ( x 1. , y Distance: (x 2 ) 2
Geometry SOL Study Sheet 1. Slope: 2. Midpoint: 3. Distance: m = y 2! y 1 x 2! x 1 midpoint = ( x 1 + x 2 2, y 1 + y 2 2 ) d = (x 2! x 1 ) 2 + (y 2! y 1 ) 2 4. Sum of Interior Angles (Convex Polygons):
More informationGeometry Curriculum Map
Geometry Curriculum Map Unit 1 st Quarter Content/Vocabulary Assessment AZ Standards Addressed Essentials of Geometry 1. What are points, lines, and planes? 1. Identify Points, Lines, and Planes 1. Observation
More informationalgebraic representation algorithm alternate interior angles altitude analytical geometry x x x analytical proof x x angle
Words PS R Comm CR Geo R Proof Trans Coor Catogoriers Key AA triangle similarity Constructed Response AAA triangle similarity Problem Solving AAS triangle congruence Resoning abscissa Communication absolute
More informationNEW YORK GEOMETRY TABLE OF CONTENTS
NEW YORK GEOMETRY TABLE OF CONTENTS CHAPTER 1 POINTS, LINES, & PLANES {G.G.21, G.G.27} TOPIC A: Concepts Relating to Points, Lines, and Planes PART 1: Basic Concepts and Definitions...1 PART 2: Concepts
More informationIf two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence
Postulates Through any two points there is exactly one line. Through any three noncollinear points there is exactly one plane containing them. If two points lie in a plane, then the line containing those
More informationThomas Jefferson High School for Science and Technology Program of Studies TJ Math 1
Course Description: This course is designed for students who have successfully completed the standards for Honors Algebra I. Students will study geometric topics in depth, with a focus on building critical
More information2 Formula (given): Volume of a Pyramid V = 1/3 BH What does B represent? Formula: Area of a Trapezoid. 3 Centroid. 4 Midsegment of a triangle
1 Formula: Area of a Trapezoid 2 Formula (given): Volume of a Pyramid V = 1/3 BH What does B represent? 3 Centroid 4 Midsegment of a triangle 5 Slope formula 6 Point Slope Form of Linear Equation *can
More informationUnit 1: Fundamentals of Geometry
Name: 1 2 Unit 1: Fundamentals of Geometry Vocabulary Slope: m y x 2 2 Formulas- MUST KNOW THESE! y x 1 1 *Used to determine if lines are PARALLEL, PERPENDICULAR, OR NEITHER! Parallel Lines: SAME slopes
More informationALLEGHANY COUNTY SCHOOLS CURRICULUM GUIDE
GRADE/COURSE: Geometry GRADING PERIOD: 1 Year Course Time SEMESTER 1: 1 ST SIX WEEKS Pre-Test, Class Meetings, Homeroom Chapter 1 12 days Lines and Angles Point Line AB Ray AB Segment AB Plane ABC Opposite
More informationMCPS Geometry Pacing Guide Jennifer Mcghee
Units to be covered 1 st Semester: Units to be covered 2 nd Semester: Tools of Geometry; Logic; Constructions; Parallel and Perpendicular Lines; Relationships within Triangles; Similarity of Triangles
More informationUnit Number of Days Dates. 1 Angles, Lines and Shapes 14 8/2 8/ Reasoning and Proof with Lines and Angles 14 8/22 9/9
8 th Grade Geometry Curriculum Map Overview 2016-2017 Unit Number of Days Dates 1 Angles, Lines and Shapes 14 8/2 8/19 2 - Reasoning and Proof with Lines and Angles 14 8/22 9/9 3 - Congruence Transformations
More informationInstructional Unit CPM Geometry Unit Content Objective Performance Indicator Performance Task State Standards Code:
306 Instructional Unit Area 1. Areas of Squares and The students will be -Find the amount of carpet 2.4.11 E Rectangles able to determine the needed to cover various plane 2. Areas of Parallelograms and
More informationGeometry Mathematics. Grade(s) 10th - 12th, Duration 1 Year, 1 Credit Required Course
Scope And Sequence Timeframe Unit Instructional Topics 9 Week(s) 9 Week(s) 9 Week(s) Geometric Structure Measurement Similarity Course Overview GENERAL DESCRIPTION: In this course the student will become
More informationCourse: Geometry PAP Prosper ISD Course Map Grade Level: Estimated Time Frame 6-7 Block Days. Unit Title
Unit Title Unit 1: Geometric Structure Estimated Time Frame 6-7 Block 1 st 9 weeks Description of What Students will Focus on on the terms and statements that are the basis for geometry. able to use terms
More informationSOME IMPORTANT PROPERTIES/CONCEPTS OF GEOMETRY (Compiled by Ronnie Bansal)
1 SOME IMPORTANT PROPERTIES/CONCEPTS OF GEOMETRY (Compiled by Ronnie Bansal) 1. Basic Terms and Definitions: a) Line-segment: A part of a line with two end points is called a line-segment. b) Ray: A part
More informationEssential Questions Content Skills Assessments Standards/PIs Resources/Notes. Restates a nonmathematical. using logic notation
Map: Geometry R+ Type: Consensus Grade Level: 10 School Year: 2011-2012 Author: Jamie Pietrantoni District/Building: Island Trees/Island Trees High School Created: 05/10/2011 Last Updated: 06/28/2011 Essential
More informationCourse: Geometry Level: Regular Date: 11/2016. Unit 1: Foundations for Geometry 13 Days 7 Days. Unit 2: Geometric Reasoning 15 Days 8 Days
Geometry Curriculum Chambersburg Area School District Course Map Timeline 2016 Units *Note: unit numbers are for reference only and do not indicate the order in which concepts need to be taught Suggested
More informationPerimeter. Area. Surface Area. Volume. Circle (circumference) C = 2πr. Square. Rectangle. Triangle. Rectangle/Parallelogram A = bh
Perimeter Circle (circumference) C = 2πr Square P = 4s Rectangle P = 2b + 2h Area Circle A = πr Triangle A = bh Rectangle/Parallelogram A = bh Rhombus/Kite A = d d Trapezoid A = b + b h A area a apothem
More information0811ge. Geometry Regents Exam
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 9 8 3 6 2 In the diagram below,. 4 Pentagon PQRST has parallel to. After a translation of, which line
More informationDefinition / Postulates / Theorems Checklist
3 undefined terms: point, line, plane Definition / Postulates / Theorems Checklist Section Definition Postulate Theorem 1.2 Space Collinear Non-collinear Coplanar Non-coplanar Intersection 1.3 Segment
More informationChapter 10 Similarity
Chapter 10 Similarity Def: The ratio of the number a to the number b is the number. A proportion is an equality between ratios. a, b, c, and d are called the first, second, third, and fourth terms. The
More informationTriangles. Leg = s. Hypotenuse = s 2
Honors Geometry Second Semester Final Review This review is designed to give the student a BASIC outline of what needs to be reviewed for the second semester final exam in Honors Geometry. It is up to
More informationGEOMETRY is the study of points in space
CHAPTER 5 Logic and Geometry SECTION 5-1 Elements of Geometry GEOMETRY is the study of points in space POINT indicates a specific location and is represented by a dot and a letter R S T LINE is a set of
More informationDefinition / Postulates / Theorems Checklist
3 undefined terms: point, line, plane Definition / Postulates / Theorems Checklist Section Definition Postulate Theorem 1.2 Space Collinear Non-collinear Coplanar Non-coplanar Intersection 1.3 Segment
More informationGeometry - Concepts 9-12 Congruent Triangles and Special Segments
Geometry - Concepts 9-12 Congruent Triangles and Special Segments Concept 9 Parallel Lines and Triangles (Section 3.5) ANGLE Classifications Acute: Obtuse: Right: SIDE Classifications Scalene: Isosceles:
More informationGeometry Advanced (Master) Content Skills Learning Targets Assessment Resources & Technology. A: The Tools of Geometry
St. Michael Albertville High School Teacher: Nick Steve Geometry Advanced (Master) September 2015 Content Skills Learning Targets Assessment Resources & Technology CEQ: What are the properties of the basic
More informationCenterville Jr. High School Curriculum Mapping Geometry 1 st Nine Weeks Matthew A. Lung Key Questions Resources/Activities Vocabulary Assessments
Chapter/ Lesson 1/1 Indiana Standard(s) Centerville Jr. High School Curriculum Mapping Geometry 1 st Nine Weeks Matthew A. Lung Key Questions Resources/Activities Vocabulary Assessments What is inductive
More informationIndex COPYRIGHTED MATERIAL. Symbols & Numerics
Symbols & Numerics. (dot) character, point representation, 37 symbol, perpendicular lines, 54 // (double forward slash) symbol, parallel lines, 54, 60 : (colon) character, ratio of quantity representation
More informationGeometry Final Exam - Study Guide
Geometry Final Exam - Study Guide 1. Solve for x. True or False? (questions 2-5) 2. All rectangles are rhombuses. 3. If a quadrilateral is a kite, then it is a parallelogram. 4. If two parallel lines are
More informationSegment Addition Postulate: If B is BETWEEN A and C, then AB + BC = AC. If AB + BC = AC, then B is BETWEEN A and C.
Ruler Postulate: The points on a line can be matched one to one with the REAL numbers. The REAL number that corresponds to a point is the COORDINATE of the point. The DISTANCE between points A and B, written
More informationKillingly Public Schools. Grades Draft Sept. 2002
Killingly Public Schools Grades 10-12 Draft Sept. 2002 ESSENTIALS OF GEOMETRY Grades 10-12 Language of Plane Geometry CONTENT STANDARD 10-12 EG 1: The student will use the properties of points, lines,
More information, y 2. ), then PQ = - y 1 ) 2. x 1 + x 2
Tools of Geometry Chapter 1 Undefined Terms (p. 5) A point is a location. It has neither shape nor size. A line is made up of points and has no thickness or width. A plane is a flat surface made up of
More informationGeometry. AIR Study Guide
Geometry AIR Study Guide Table of Contents Topic Slide Formulas 3 5 Angles 6 Lines and Slope 7 Transformations 8 Constructions 9 10 Triangles 11 Congruency and Similarity 12 Right Triangles Only 13 Other
More informationSemester Test Topic Review. Correct Version
Semester Test Topic Review Correct Version List of Questions Questions to answer: What does the perpendicular bisector theorem say? What is true about the slopes of parallel lines? What is true about the
More informationMath 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK
Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK [acute angle] [acute triangle] [adjacent interior angle] [alternate exterior angles] [alternate interior angles] [altitude] [angle] [angle_addition_postulate]
More information, Geometry, Quarter 1
2017.18, Geometry, Quarter 1 The following Practice Standards and Literacy Skills will be used throughout the course: Standards for Mathematical Practice Literacy Skills for Mathematical Proficiency 1.
More informationVOCABULARY. Chapters 1, 2, 3, 4, 5, 9, and 8. WORD IMAGE DEFINITION An angle with measure between 0 and A triangle with three acute angles.
Acute VOCABULARY Chapters 1, 2, 3, 4, 5, 9, and 8 WORD IMAGE DEFINITION Acute angle An angle with measure between 0 and 90 56 60 70 50 A with three acute. Adjacent Alternate interior Altitude of a Angle
More informationMadison County Schools Suggested Geometry Pacing Guide,
Madison County Schools Suggested Geometry Pacing Guide, 2016 2017 Domain Abbreviation Congruence G-CO Similarity, Right Triangles, and Trigonometry G-SRT Modeling with Geometry *G-MG Geometric Measurement
More informationGeometry Third Quarter Study Guide
Geometry Third Quarter Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,
More informationBeal City High School Geometry Curriculum and Alignment
Beal City High School Geometry Curriculum and Alignment UNIT 1 Geometry Basics (Chapter 1) 1. Points, lines and planes (1-1, 1-2) 2. Axioms (postulates), theorems, definitions (Ch 1) 3. Angles (1-3) 4.
More informationGeometry. Instructional Activities:
GEOMETRY Instructional Activities: Geometry Assessment: A. Direct Instruction A. Quizzes B. Cooperative Learning B. Skill Reviews C. Technology Integration C. Test Prep Questions D. Study Guides D. Chapter
More informationHigh School Mathematics Geometry Vocabulary Word Wall Cards
High School Mathematics Geometry Vocabulary Word Wall Cards Table of Contents Reasoning, Lines, and Transformations Basics of Geometry 1 Basics of Geometry 2 Geometry Notation Logic Notation Set Notation
More informationFONTANA UNIFIED SCHOOL DISTRICT Glencoe Geometry Quarter 1 Standards and Objectives Pacing Map
Glencoe Geometry Quarter 1 1 August 9-13 2 August 16-20 *1.0 Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning.
More informationSelect the best answer. Bubble the corresponding choice on your scantron. Team 13. Geometry
Team Geometry . What is the sum of the interior angles of an equilateral triangle? a. 60 b. 90 c. 80 d. 60. The sine of angle A is. What is the cosine of angle A? 6 4 6 a. b. c.. A parallelogram has all
More informationCURRICULUM GUIDE. Honors Geometry
CURRICULUM GUIDE Honors Geometry This level of Geometry is approached at an accelerated pace. Topics of postulates, theorems and proofs are discussed both traditionally and with a discovery approach. The
More informationAssignment List. Chapter 1 Essentials of Geometry. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines
Geometry Assignment List Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes 5 #1, 4-38 even, 44-58 even 27 1.2 Use Segments and Congruence 12 #4-36 even, 37-45 all 26 1.3 Use Midpoint
More information3. Radius of incenter, C. 4. The centroid is the point that corresponds to the center of gravity in a triangle. B
1. triangle that contains one side that has the same length as the diameter of its circumscribing circle must be a right triangle, which cannot be acute, obtuse, or equilateral. 2. 3. Radius of incenter,
More informationCarnegie Learning High School Math Series: Geometry Indiana Standards Worktext Correlations
Carnegie Learning High School Math Series: Logic and Proofs G.LP.1 Understand and describe the structure of and relationships within an axiomatic system (undefined terms, definitions, axioms and postulates,
More informationNFC ACADEMY COURSE OVERVIEW
NFC ACADEMY COURSE OVERVIEW Geometry Honors is a full year, high school math course for the student who has successfully completed the prerequisite course, Algebra I. The course focuses on the skills and
More informationWest Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12
West Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12 Unit 1: Basics of Geometry Content Area: Mathematics Course & Grade Level: Basic Geometry, 9 12 Summary and Rationale This unit
More informationShortcuts, Formulas & Tips
& present Shortcuts, Formulas & Tips For MBA, Banking, Civil Services & Other Entrance Examinations Vol. 3: Geometry Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles
More informationtheorems & postulates & stuff (mr. ko)
theorems & postulates & stuff (mr. ko) postulates 1 ruler postulate The points on a line can be matched one to one with the real numbers. The real number that corresponds to a point is the coordinate of
More informationUnit Overview. Learning Targets. Guiding Questions
Content Area: Geometry Unit Title: Preparing for Geometry Target Course/Grade Level Geometry Duration 10 days Unit Overview Description : In this unit, students will review a number of topics and skills
More informationQuestion2: Which statement is true about the two triangles in the diagram?
Question1: The diagram shows three aid stations in a national park. Choose the values of x, y, and z that COULD represent the distances between the stations. (a) x = 7 miles, y = 8 miles, z = 18 miles
More informationTexas High School Geometry
Texas High School Geometry This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet
More informationGeometry Vocabulary Math Fundamentals Reference Sheet Page 1
Math Fundamentals Reference Sheet Page 1 Acute Angle An angle whose measure is between 0 and 90 Acute Triangle A that has all acute Adjacent Alternate Interior Angle Two coplanar with a common vertex and
More informationa triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles
acute triangle a triangle with all acute angles adjacent angles angles that share a common side and vertex alternate exterior angles two non-adjacent exterior angles on opposite sides of the transversal;
More informationGeometry Year-Long. September 2014
St. Michael-Albertville High School Teacher: Nick Steve Geometry Year-Long September 2014 NOTE: The topics covered in Geometry and in Advanced Geometry are basically the same. However, the Advanced Geometry
More informationNorthern York County School District Curriculum
Course Name Keystone Geometry (1.03 / 1.06 / 1.10) Grade Level Grade 10 Northern York County School District Curriculum Module Instructional Procedures Module 1: Geometric Properties and Reasoning Course
More informationIf B is the If two angles are
If If B is between A and C, then 1 2 If P is in the interior of RST, then If B is the If two angles are midpoint of AC, vertical, then then 3 4 If angles are adjacent, then If angles are a linear pair,
More informationGanado Unified School District Geometry
Ganado Unified School District Geometry PACING Guide SY 2016-2017 Timeline & Resources 1st Quarter Unit 1 AZ & ELA Standards Essential Question Learning Goal Vocabulary CC.9-12.G.CO. Transformations and
More informationGeometry Curriculum Guide Lunenburg County Public Schools June 2014
Marking Period: 1 Days: 4 Reporting Category/Strand: Reasoning, Lines, and Transformations SOL G.1 The student will construct and judge the validity of a logical argument consisting of a set of premises
More informationTheorems & Postulates Math Fundamentals Reference Sheet Page 1
Math Fundamentals Reference Sheet Page 1 30-60 -90 Triangle In a 30-60 -90 triangle, the length of the hypotenuse is two times the length of the shorter leg, and the length of the longer leg is the length
More informationAldine ISD Benchmark Targets /Geometry SUMMER 2004
ASSURANCES: By the end of Geometry, the student will be able to: 1. Use properties of triangles and quadrilaterals to solve problems. 2. Identify, classify, and draw two and three-dimensional objects (prisms,
More informationPearson Mathematics Geometry
A Correlation of Pearson Mathematics Geometry Indiana 2017 To the INDIANA ACADEMIC STANDARDS Mathematics (2014) Geometry The following shows where all of the standards that are part of the Indiana Mathematics
More informationLT 1.2 Linear Measure (*) LT 1.3 Distance and Midpoints (*) LT 1.4 Angle Measure (*) LT 1.5 Angle Relationships (*) LT 1.6 Two-Dimensional Figures (*)
PS1 Tools of Geometry: Students will be able to find distances between points and midpoints of line segments; identify angle relationships; and find perimeters, areas, surface areas and volumes. LT 1.1
More informationadded to equal quantities, their sum is equal. Same holds for congruence.
Mr. Cheung s Geometry Cheat Sheet Theorem List Version 6.0 Updated 3/14/14 (The following is to be used as a guideline. The rest you need to look up on your own, but hopefully this will help. The original
More informationMADISON ACADEMY GEOMETRY PACING GUIDE
MADISON ACADEMY GEOMETRY PACING GUIDE 2018-2019 Standards (ACT included) ALCOS#1 Know the precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined
More informationGeometry CP Pen Argyl Area High School 2018
Geometry emphasizes the development of logical thinking as it relates to geometric problems. Topics include using the correct language and notations of geometry, developing inductive and deductive reasoning,
More informationCORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12)
CORRELATION TO GEORGIA (GRADES 9-12) SUBJECT AREA: Mathematics COURSE: 27. 06300 TEXTBOOK TITLE: PUBLISHER: Geometry: Tools for a Changing World 2001 Prentice Hall 1 Solves problems and practical applications
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY 3 rd Nine Weeks, 2016-2017 1 OVERVIEW Geometry Content Review Notes are designed by the High School Mathematics Steering Committee as a resource for
More informationfall08ge Geometry Regents Exam Test Sampler fall08 4 The diagram below shows the construction of the perpendicular bisector of AB.
fall08ge 1 Isosceles trapezoid ABCD has diagonals AC and BD. If AC = 5x + 13 and BD = 11x 5, what is the value of x? 1) 8 4 The diagram below shows the construction of the perpendicular bisector of AB.
More informationGeometry Midterm Review 2019
Geometry Midterm Review 2019 Name To prepare for the midterm: Look over past work, including HW, Quizzes, tests, etc Do this packet Unit 0 Pre Requisite Skills I Can: Solve equations including equations
More information162. See also ASA triangle
INDEX A AA triangle similarity (AA ), 490. See also Angle-angle triangle similarity AAS triangle, 352. See also Angle-angle-side triangle Abscissa, 210 Absolute value, 7 8 Acute angle, 17 Acute triangle,
More informationGeometry Mathematics. Grade(s) 9th - 12th, Duration 1 Year, 1 Credit Required Course
Course Description will provide a careful development of both inductive and deductive reasoning. While emphasizing the formal geometric topics of points, lines, planes, congruency, similarity, and characteristics
More informationRussell County Pacing Guide
August Experiment with transformations in the plane. 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, distance
More informationGeometry A Year-at-a-Glance Year-at-a-Glance
Year-at-a-Glance 2018-2019 Year-at-a-Glance FIRST SEMESTER SECOND SEMESTER Unit 1 Foundations of Geometry Unit 2 Circles Unit 3 Equations of Lines and Angle-Pairs Unit 4 Congruence Unit 5 Triangles 1st
More informationGeometry. Geometry. Domain Cluster Standard. Congruence (G CO)
Domain Cluster Standard 1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance
More information0613ge. Geometry Regents Exam 0613
wwwjmaporg 0613ge 1 In trapezoid RSTV with bases and, diagonals and intersect at Q If trapezoid RSTV is not isosceles, which triangle is equal in area to? 2 In the diagram below, 3 In a park, two straight
More informationGeometry. Geometry is one of the most important topics of Quantitative Aptitude section.
Geometry Geometry is one of the most important topics of Quantitative Aptitude section. Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles are always equal. If any
More informationDEFINITIONS. Perpendicular Two lines are called perpendicular if they form a right angle.
DEFINITIONS Degree A degree is the 1 th part of a straight angle. 180 Right Angle A 90 angle is called a right angle. Perpendicular Two lines are called perpendicular if they form a right angle. Congruent
More informationSalisbury Township School District Planned Course of Study Geometry Salisbury Inspire, Think, Learn, Grow Together!
Topic/Unit: Points, Lines, and Planes Big Ideas/Enduring Understandings: Geometric figures can be described and measured There is a relationship between equality and congruence Inductive and deductive
More informationGeometry Period Unit 2 Constructions Review
Name 2-7 Review Geometry Period Unit 2 Constructions Review Date 2-1 Construct an Inscribed Regular Hexagon and Inscribed equilateral triangle. -Measuring radius distance to make arcs. -Properties of equilateral
More informationHigh School Geometry
High School Geometry This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
More informationPearson Mathematics Geometry Common Core 2015
A Correlation of Pearson Mathematics Geometry Common Core 2015 to the Common Core State Standards for Bid Category 13-040-10 A Correlation of Pearson, Common Core Pearson Geometry Congruence G-CO Experiment
More informationBMGM-2 BMGM-3 BMGM-1 BMGM-7 BMGM-6 BMGM-5 BMGM-8 BMGM-9 BMGM-10 BMGM-11 DXGM-7 DXGM-23 BMGM-12 BMGM-13 BMGM-14 BMGM-15 BMGM-16 DXGM-9
Objective Code Advance BMGM-2 BMGM-3 BMGM-1 BMGM-7 BMGM-6 BMGM-5 BMGM-8 BMGM-9 BMGM-10 BMGM-11 DXGM-7 DXGM-8 BMGM-12 BMGM-13 BMGM-14 BMGM-15 BMGM-16 DXGM-9 DXGM-10 DXGM-11 DXGM-15 DXGM-17 DXGM-16 DXGM-18
More informationPlane Geometry. Paul Yiu. Department of Mathematics Florida Atlantic University. Summer 2011
lane Geometry aul Yiu epartment of Mathematics Florida tlantic University Summer 2011 NTENTS 101 Theorem 1 If a straight line stands on another straight line, the sum of the adjacent angles so formed is
More informationFirst Quarter Second Quarter Third Quarter Fourth Quarter Unit 1: Geometry Basics
Document Definitions Geometry/Geometry Honors Pacing Guide Focus: Second Quarter First Quarter Second Quarter Third Quarter Fourth Quarter Unit 1: Geometry Basics 2.5 weeks/6 blocks Unit 2: Logic and Reasoning
More informationGeometry. Pacing Guide. Kate Collins Middle School
Geometry Pacing Guide Kate Collins Middle School 2016-2017 Points, Lines, Planes, and Angles 8/24 9/4 Geometry Pacing Chart 2016 2017 First Nine Weeks 1.1 Points, Lines, and Planes 1.2 Linear Measure and
More informationGeometry Vocabulary Word Wall Cards
Geometry Vocabulary Word Wall Cards Mathematics vocabulary word wall cards provide a display of mathematics content words and associated visual cues to assist in vocabulary development. The cards should
More informationMathematics Scope & Sequence Geometry
Mathematics Scope & Sequence Geometry Readiness Standard(s) First Six Weeks (29 ) Coordinate Geometry G.7.B use slopes and equations of lines to investigate geometric relationships, including parallel
More informationUse throughout the course: for example, Parallel and Perpendicular Lines Proving Lines Parallel. Polygons and Parallelograms Parallelograms
Geometry Correlated to the Texas Essential Knowledge and Skills TEKS Units Lessons G.1 Mathematical Process Standards The student uses mathematical processes to acquire and demonstrate mathematical understanding.
More informationThe Research- Driven Solution to Raise the Quality of High School Core Courses. Geometry. Course Outline
The Research- Driven Solution to Raise the Quality of High School Core Courses Course Outline Course Outline Page 2 of 5 0 1 2 3 4 5 ACT Course Standards A. Prerequisites 1. Skills Acquired by Students
More informationHoughton Mifflin Harcourt Geometry 2015 correlated to the New York Common Core Learning Standards for Mathematics Geometry
Houghton Mifflin Harcourt Geometry 2015 correlated to the New York Common Core Learning Standards for Mathematics Geometry Standards for Mathematical Practice SMP.1 Make sense of problems and persevere
More information