1.1 Building Blocks of Geometry

Size: px
Start display at page:

Download "1.1 Building Blocks of Geometry"

Transcription

1 1.1 uilding locks of Geometry Name Definition Picture Short Rorm Point A location in space The point P Line An infinite number of points extending in two directions. A line only has length. T M TM Ray An infinite number of points in a straight line from a given point. TM Line Segment An infinite number of points in a straight line between two given points. TM Plane A flat surface that extends outward forever with length and width, but no thickness. Collinear T P M points Points on the same line D Just say it Coplanar points Points on the same plane Just say it Angle Two noncollinear rays sharing the same endpoint form an angle HM or MH or H Endpoints A terminating or starting point of a ray, line segment, or arc Just say it 1. Name each picture using the proper notation/symbols. If you can name the picture more than one way, then do so. P A Q H M T M

2 2. Draw RA, H, g, and a plane containing the points JML. 3. For the following picture is the notation a good idea? Why? P H M 4. Use your ruler to measure the following segment in cm and then in inches and write it in the form ma= A 5. How many points define a line, a plane? 1.2 Pool Room Math. 1. Label each angle with a letter and measure the angles using a protractor. Write your answers in the form m A

3 Congruence is where two shapes have the exact same size and shape. The symbol is Congruent segments have the exact same measure. Congruent angles have the exact same measure. *Numbers are EQUAL. ma m ma 35 CE 6 A 5 E 3 mae 120 mced 80 A *Shapes are CONGRUENT A Labeling angles and segments E A C D AE E CE DE A CD A C Showing congruent segments and angles. E D C What would be wrong with using the notation E? D Mark the following on the given shape. A A C D A AE CE E D CD mc 90 mae 60 mce 90 CE 6 A 10 E 7 E C D

4 1.3 Conditionals, Converse, Counterexample, and more definitions. Conditional- A sentence with a condition and then a result. Usually in the form of : If x 3 4, then x 1 If it rained, then the street is wet. If an m A 90, then A is a right angle. What do these statements all have in common? If a polygon is a square, then it is a rhombus 1. Write a conditional. Converse- The reverse statement. If x 1, then x 3 4 If the street is wet, then it rained. What did I do to the previous statements to create these? If A is a right angle, then the m A 90 If a polygon is a rhombus, then it is a square 2. Write the converse to your conditional. iconditional- A statement where the conditional and the converse are true and written using "if and only if." Examples. If x 3 4, then x 1, If x 1, then x 3 4 x 3 4 if and only if x 1 If an If m A 90, then A is a right angle. A is a right angle, then the m A 90 A is a right angle if and only if the m A Can you write a biconditional using your conditional and converse? If not true, then try writing one using another scenario.

5 Counterexample- An example that makes something not true. It counteracts the statement. 4. Given the conditional: If it rained, then the street is wet. a) Write the converse. b) Give a counterexample to disprove the converse Given the conditional: If x 3, then x 9 a) Write the converse. b) Give a counterexample to disprove the converse. Name Right Angle Acute angle obtuse angles Midpoint of a segment Angle bisector Definition An angle with a measure of 90 deg. An angle with a measure of less than 90 deg. An angle with a measure of more than 90 deg. The point equidistant from both endpoints The line segement equidistand from the segments creating the angle Picture (give a measurement) 6. Mark each figure to indicate the given information. Use the congruent slashes and symbol for a right angle. a) A = CD, ma md b) Point F is the midpoint of sac, CD is a right angle, and sae is an angle bisector. C C A D F E. A D

6 Defining line and angle relationships. Name Parallel lines Definition Two or more lines that lie in the same plane and do not intersect Picture (give a measurement) l m Short Form l m Perpendicular lines Two lines that lie in the same plane and intersect at a 90 degree angle. p m m p Pair of complementary angles Two angle whose measures have a sum of 90 degrees. Pair of supplementary angles Two angle whose measures have a sum of 180 degrees. Pair of vertical angles Two nonadjacent angles formed by two intersecting lines Linear pair of angles A pair of angles that form a line. Draw and carefully label the following: 1. Two vertical angles 1 and 2 2. PE AR 3. PE ET 4. Supplementary angles D and F with m D 35

7 Name Definition Picture Defining POLYGONS (many knees) 1.4 Polygon-- A closed figure in a plane, formed by a finite set of non collinear line segments. Sides Name Sides Name Sides Name p Name Definition Picture Convex polygon Concave polygon A polygon where no segments connecting any two vertices can be drawn outside the polygon. A polygon were at least one segment connecting two vertices can be drawn outside the polygon Consecutive vertices Two vertices connected by a side. Consecutive sides Two sides that share a vertice Consecutive angles Congruent polygons Two angles that share a side Polygons where all corresponding sides have equal measures and all corresponding angles have equal measures.

8 Diagonal A segment connecting two nonconsecutive vertices Equilateral Polygon A polygon where all sides are equal. Equiangular polygon A polygon where all angles are equal. Regular polygon A polygon where all sides are equal and all angles are equal Draw and carefully label the following: Use a ruler and protractor. 1. Hexagon HEXGON with right G and diagonal seo 2. Equiangular quadrilateral QUAD. 3. Draw a Hexagon ACDEF where A D F.

9 1.5 Triangles Name Definition Picture

10 Right triangle A triangle with one right angle Acute triangle A triangle where all angles are acute. Obtuse triangle A triangle with one obtuse angle Scalene triangle A triangle where no sides are equal Isosceles triangle A triangle with at least two congruent sides Equilateral triangle A triangle where all sides are congruent Median of a triangle Altitude of a triangle A segment connecting the midpoint of a side to the opposite vertex A perpendicular segment from the vertex to the opposite side or the line containing the opposite side. Draw and carefully label the following: 1. An obtuse scalene triangle 2. Triangle AC with median AE. 3. Acute triangle DEF with altitude DA 4. Obtuse triangle MOP, m O 130, with altitude ME.

11 1.6 Quadrilaterals Name Definition Picture Trapezoid Kite Parallelogram A Quadrilateral with exactly on pair of parallel sides A Quadrilateral with exactly two pairs of distinct congruent consecutive sides A Quadrilateral with two pair of parallel sides. Rhombus An equilateral Quadrilateral Rectangle Square An equiangular Quadrilateral An equiangular and equilateral Quadrilateral QUADRILATERALS TRAPEZOIDS PARALLELOGRAMS KITES RHOMUS RECTANGLE SQUARE Use your geometric tools to draw and label each figure. These must be close to exact. 9. Isosceles right triangle AC with right angle 10. Trapezoid ZOID with szo // sid, mozd = 75, and mzoi = 45

12 Exercises--Group work---review. Answer the following questions. Match each statement from 1 to 8 with a letter from the box. a. Decagon e. Acute i. Collinear m. A b. Isosceles f. Octagon j. Coplanar n. A c. Scalene g. Hexagon k. Protractor o. A d. Obtuse h. Dodecagon l. A p. A 1. The tool used to measure angles in degrees 2. Three or more points on a line 3. A triangle with all sides of unequal measure 4. A triangle with at least two sides of equal measure 5. A ray starting at point and passing through point A 6. A line segment with endpoints A and 7. An angle whose measure is greater than A polygon with ten sides Match each statement from 1 to 8 with a letter from the box. a. Rhombus e. Angle bisector i. Parallel b. Rectangle f. Median j. Supplementary c. Trapezoid g. Altitude k. Complementary d. Parallelogram h. Perpendicular bisector 1. Two angles whose measures add up to Two lines in the same plane that do not intersect 3. An equiangular parallelogram 4. A quadrilateral with exactly one pair of parallel sides 5. An equilateral quadrilateral 6. A segment in a triangle connecting a vertex with the midpoint of the opposite side 7. A segment in a triangle from a vertex perpendicular to the line containing the opposite side 8. A segment in a triangle from a vertex to the opposite side dividing the angle into two parts of equal measure 9. True or False. If false, then give a counterexample or reason why it is false. a) An angle bisector divides an angle into two congruent angles. b) If two lines intersect then they form a right angle. c) Every square is a rectangle. d) Every square is a rhombus. e) An obtuse triangle has exactly one angle greater than 90 degrees

13 1.7 Circles Circle- The set of points in a plane equidistant form a given point(the center of the circle). radius- A segment from the center of the circle to a point on the circle (the distance from the center to a point on the circle.) Congruent Circles- two circles with the same radius. Concentric circles - Two circles with the same center Arc of a circle- part of a circle Semicircle- An arc that is half the circle Minor Arc- less than half the circle Major Arc- more than half Chord- a segment connecting two points on the circle. Diameter- a cord containing the center of the circle. Secant line- a line that intersects two or more points of a circle or curve. Tangent line- a line that intersects one and only one point on the object. Inscribed angle- An angle created by two different cords sharing a point on the circle. Central angle- an angle with vertex at the center of the circle

14 1.8 Space Geometry Let's do some drawing. Cylinder Cone Pyramid Prism Sphere Hemisphere 1. Draw a rectangular solid 3 cm by 4 cm by 5 cm, resting on its smallest face.

15 1.9 If you can't picture it then DRAW A PICTURE. 1. David is 3 years older than Stephen and 2 years younger than Graham. If Neil is 4 years younger than Graham, how much older than Neil is David? 2 The box on the right is wrapped with two strips of ribbon as shown. What length of ribbon was needed to decorate the box? reak the box down into it's six sides. 3. At one point in a race, Homer was 25 feet behind art and 28 feet ahead of Marge. Marge was trailing Lisa by 40 feet. Who is winning the race and by how much? How much is Homer losing the race by? Locus- a set of points/dots. Planes can be paper, cardboard, or any flat surface. 4. Line A lies in a plane. Sketch the locus of points in that plane that are 3 cm from line A. Sketch the locus of points in the space that are 3 cm from line A. What shapes do the locus of points make for each sketch? 5. Point P lies in the plane. Sketch the locus of points in that plane that are 3 cm from the point P. What shape do the locus of points make?

Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK

Math 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

Final Review Chapter 1 - Homework

Final Review Chapter 1 - Homework Name Date Final Review Chapter 1 - Homework Part A Find the missing term in the sequence. 1. 4, 8, 12, 16,, 7. 2. -5, 3, -2, 1, -1, 0,, 3. 1, 5, 14, 30, 55,, 8. List the three steps of inductive reasoning:

More information

Term Definition Figure

Term Definition Figure Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruency, parallel, perpendicular, etc.) Term Definition Figure collinear on the same line (note: you do

More information

Mrs. Daniel s Geometry Vocab List

Mrs. Daniel s Geometry Vocab List Mrs. Daniel s Geometry Vocab List Geometry Definition: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Refectional Symmetry Definition:

More information

GEOMETRY is the study of points in space

GEOMETRY 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 information

Polygon. Note: Each segment is called a side. Each endpoint is called a vertex.

Polygon. Note: Each segment is called a side. Each endpoint is called a vertex. Polygons Polygon A closed plane figure formed by 3 or more segments. Each segment intersects exactly 2 other segments at their endpoints. No 2 segments with a common endpoint are collinear. Note: Each

More information

Mrs. Daniel s Geometry Vocab List

Mrs. Daniel s Geometry Vocab List Mrs. Daniel s Geometry Vocab List Geometry Definition: a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Reflectional Symmetry

More information

Index COPYRIGHTED MATERIAL. Symbols & Numerics

Index 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 information

Term Definition Figure

Term Definition Figure Geometry Unit 1 Packet - Language of Geometry Name: #: Video Notes LT 1.1 - Distinguish and apply basic terms of geometry (coplanar, collinear, bisectors, congruent, parallel, perpendicular, etc.) Term

More information

Lines Plane A flat surface that has no thickness and extends forever.

Lines Plane A flat surface that has no thickness and extends forever. Lines Plane A flat surface that has no thickness and extends forever. Point an exact location Line a straight path that has no thickness and extends forever in opposite directions Ray Part of a line that

More information

Geometry Vocabulary Math Fundamentals Reference Sheet Page 1

Geometry 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 information

Moore Catholic High School Math Department

Moore Catholic High School Math Department Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during

More information

Postulates, Theorems, and Corollaries. Chapter 1

Postulates, 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 information

TOPIC 2 Building Blocks of Geometry. Good Luck To

TOPIC 2 Building Blocks of Geometry. Good Luck To Good Luck To Period Date PART I DIRECTIONS: Use the Terms (page 2), Definitions (page 3), and Diagrams (page 4) to complete the table Term (capital letters) 1. Chord 2. Definition (roman numerals) Pictures

More information

MAT104: Fundamentals of Mathematics II Introductory Geometry Terminology Summary. Section 11-1: Basic Notions

MAT104: Fundamentals of Mathematics II Introductory Geometry Terminology Summary. Section 11-1: Basic Notions MAT104: Fundamentals of Mathematics II Introductory Geometry Terminology Summary Section 11-1: Basic Notions Undefined Terms: Point; Line; Plane Collinear Points: points that lie on the same line Between[-ness]:

More information

Videos, Constructions, Definitions, Postulates, Theorems, and Properties

Videos, 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 information

Geometry Reasons for Proofs Chapter 1

Geometry Reasons for Proofs Chapter 1 Geometry Reasons for Proofs Chapter 1 Lesson 1.1 Defined Terms: Undefined Terms: Point: Line: Plane: Space: Postulate 1: Postulate : terms that are explained using undefined and/or other defined terms

More information

Course: Geometry Level: Regular Date: 11/2016. Unit 1: Foundations for Geometry 13 Days 7 Days. Unit 2: Geometric Reasoning 15 Days 8 Days

Course: 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 information

T103 Final Review Sheet. Central Angles. Inductive Proof. Transversal. Rectangle

T103 Final Review Sheet. Central Angles. Inductive Proof. Transversal. Rectangle T103 Final Review Sheet Know the following definitions and their notations: Point Hexa- Space Hepta- Line Octa- Plane Nona- Collinear Deca- Coplanar Dodeca- Intersect Icosa- Point of Intersection Interior

More information

Geometry Vocabulary. acute angle-an angle measuring less than 90 degrees

Geometry Vocabulary. acute angle-an angle measuring less than 90 degrees Geometry Vocabulary acute angle-an angle measuring less than 90 degrees angle-the turn or bend between two intersecting lines, line segments, rays, or planes angle bisector-an angle bisector is a ray that

More information

Department: Course: Chapter 1

Department: Course: Chapter 1 Department: Course: 2016-2017 Term, Phrase, or Expression Simple Definition Chapter 1 Comprehension Support Point Line plane collinear coplanar A location in space. It does not have a size or shape The

More information

Moore Catholic High School Math Department

Moore Catholic High School Math Department Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during

More information

U4 Polygon Notes January 11, 2017 Unit 4: Polygons

U4 Polygon Notes January 11, 2017 Unit 4: Polygons Unit 4: Polygons 180 Complimentary Opposite exterior Practice Makes Perfect! Example: Example: Practice Makes Perfect! Def: Midsegment of a triangle - a segment that connects the midpoints of two sides

More information

1.1. Building Blocks of Geometry. Investigation: Mathematical Models CONDENSED LESSON

1.1. Building Blocks of Geometry. Investigation: Mathematical Models CONDENSED LESSON CONDENSED LESSON 1.1 Building Blocks of Geometry In this lesson, you Learn about points, lines, and planes and how to represent them Learn definitions of collinear, coplanar, line segment, congruent segments,

More information

Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.

Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry. Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know

More information

MANHATTAN HUNTER SCIENCE HIGH SCHOOL GEOMETRY CURRICULUM

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 information

Suggested List of Mathematical Language. Geometry

Suggested 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 information

Geometry Basics of Geometry Precise Definitions Unit CO.1 OBJECTIVE #: G.CO.1

Geometry Basics of Geometry Precise Definitions Unit CO.1 OBJECTIVE #: G.CO.1 OBJECTIVE #: G.CO.1 OBJECTIVE 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 information

Aldine ISD Benchmark Targets /Geometry SUMMER 2004

Aldine 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 information

25. How would you make the octahedral die shown below?

25. How would you make the octahedral die shown below? 304450_ch_08_enqxd 12/6/06 1:39 PM Page 577 Chapter Summary 577 draw others you will not necessarily need all of them. Describe your method, other than random trial and error. How confident are you that

More information

pine cone Ratio = 13:8 or 8:5

pine cone Ratio = 13:8 or 8:5 Chapter 10: Introducing Geometry 10.1 Basic Ideas of Geometry Geometry is everywhere o Road signs o Carpentry o Architecture o Interior design o Advertising o Art o Science Understanding and appreciating

More information

Section 1-1 Points, Lines, and Planes

Section 1-1 Points, Lines, and Planes Section 1-1 Points, Lines, and Planes I CAN. Identify and model points, lines, and planes. Identify collinear and coplanar points and intersecting lines and planes in space. Undefined Term- Words, usually

More information

WAYNESBORO AREA SCHOOL DISTRICT CURRICULUM ACCELERATED GEOMETRY (June 2014)

WAYNESBORO 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 information

Geometry Vocabulary. Name Class

Geometry Vocabulary. Name Class Geometry Vocabulary Name Class Definition/Description Symbol/Sketch 1 point An exact location in space. In two dimensions, an ordered pair specifies a point in a coordinate plane: (x,y) 2 line 3a line

More information

Name Honors Geometry Final Exam Review

Name Honors Geometry Final Exam Review 2014-2015 Name Honors Geometry Final Eam Review Chapter 5 Use the picture at the right to answer the following questions. 1. AC= 2. m BFD = 3. m CAE = A 29 C B 71⁰ 19 D 16 F 65⁰ E 4. Find the equation

More information

Geometry 10 and 11 Notes

Geometry 10 and 11 Notes Geometry 10 and 11 Notes Area and Volume Name Per Date 10.1 Area is the amount of space inside of a two dimensional object. When working with irregular shapes, we can find its area by breaking it up into

More information

Thomas Jefferson High School for Science and Technology Program of Studies TJ Math 1

Thomas 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 information

STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY. 3 rd Nine Weeks,

STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS GEOMETRY. 3 rd Nine Weeks, STANDARDS OF LEARNING CONTENT REVIEW NOTES HONORS 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

More information

Angle Unit Definitions

Angle Unit Definitions ngle Unit Definitions Name lock Date Term Definition Notes Sketch D djacent ngles Two coplanar angles with a coon side, a coon vertex, and no coon interior points. Must be named with 3 letters OR numbers

More information

SOME IMPORTANT PROPERTIES/CONCEPTS OF GEOMETRY (Compiled by Ronnie Bansal)

SOME 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 information

SOL Chapter Due Date

SOL Chapter Due Date Name: Block: Date: Geometry SOL Review SOL Chapter Due Date G.1 2.2-2.4 G.2 3.1-3.5 G.3 1.3, 4.8, 6.7, 9 G.4 N/A G.5 5.5 G.6 4.1-4.7 G.7 6.1-6.6 G.8 7.1-7.7 G.9 8.2-8.6 G.10 1.6, 8.1 G.11 10.1-10.6, 11.5,

More information

Geometry Final Exam - Study Guide

Geometry 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 information

Performance Objectives Develop dictionary terms and symbols

Performance Objectives Develop dictionary terms and symbols Basic Geometry Course Name: Geometry Unit: 1 Terminology & Fundamental Definitions Time Line: 4 to 6 weeks Building Blocks of Geometry Define & identify point, line, plane angle, segment, ray, midpoint,

More information

Geometry Winter Packet

Geometry Winter Packet Geometry Winter Packet Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which point of concurrency is equidistant from 6. Arrange the letters in order from

More information

Geometry (H) Worksheet: 1st Semester Review:True/False, Always/Sometimes/Never

Geometry (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 information

0613ge. Geometry Regents Exam 0613

0613ge. 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 information

CORRELATION TO GEORGIA QUALITY CORE CURRICULUM FOR GEOMETRY (GRADES 9-12)

CORRELATION 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 information

Ch 1 Note Sheet L2 Key.doc 1.1 Building Blocks of Geometry

Ch 1 Note Sheet L2 Key.doc 1.1 Building Blocks of Geometry 1.1 uilding locks of Geometry Read page 28. It s all about vocabulary and notation! To name something, trace the figure as you say the name, if you trace the figure you were trying to describe you re correct!

More information

Indiana State Math Contest Geometry

Indiana State Math Contest Geometry Indiana State Math Contest 018 Geometry This test was prepared by faculty at Indiana University - Purdue University Columbus Do not open this test booklet until you have been advised to do so by the test

More information

Definition / Postulates / Theorems Checklist

Definition / 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 information

22. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

22. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Chapter 4 Quadrilaterals 4.1 Properties of a Parallelogram Definitions 22. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. 23. An altitude of a parallelogram is the

More information

If two sides and the included angle of one triangle are congruent to two sides and the included angle of 4 Congruence

If 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 information

Answer Key. 1.1 The Three Dimensions. Chapter 1 Basics of Geometry. CK-12 Geometry Honors Concepts 1. Answers

Answer Key. 1.1 The Three Dimensions. Chapter 1 Basics of Geometry. CK-12 Geometry Honors Concepts 1. Answers 1.1 The Three Dimensions 1. Possible answer: You need only one number to describe the location of a point on a line. You need two numbers to describe the location of a point on a plane. 2. vary. Possible

More information

Geometry Curriculum Map

Geometry 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 information

Math-in-CTE Lesson Plan Template

Math-in-CTE Lesson Plan Template Lesson Development Math-in-CTE Lesson Plan Template Lesson Title: Basic Geometric Concepts Lesson # Author(s): Phone Number(s): E-mail Address(es): Juan Carlos Martínez jcmartinez@dadeschoolsnet Bergman

More information

Math 6, Unit 8 Notes: Geometric Relationships

Math 6, Unit 8 Notes: Geometric Relationships Math 6, Unit 8 Notes: Geometric Relationships Points, Lines and Planes; Line Segments and Rays As we begin any new topic, we have to familiarize ourselves with the language and notation to be successful.

More information

MCPS Geometry Pacing Guide Jennifer Mcghee

MCPS 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 information

a triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles

a 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 information

MPM1D Page 1 of 6. length, width, thickness, area, volume, flatness, infinite extent, contains infinite number of points. A part of a with endpoints.

MPM1D Page 1 of 6. length, width, thickness, area, volume, flatness, infinite extent, contains infinite number of points. A part of a with endpoints. MPM1D Page 1 of 6 Unit 5 Lesson 1 (Review) Date: Review of Polygons Activity 1: Watch: http://www.mathsisfun.com/geometry/dimensions.html OBJECT Point # of DIMENSIONS CHARACTERISTICS location, length,

More information

Geometry Practice. 1. Angles located next to one another sharing a common side are called angles.

Geometry Practice. 1. Angles located next to one another sharing a common side are called angles. Geometry Practice Name 1. Angles located next to one another sharing a common side are called angles. 2. Planes that meet to form right angles are called planes. 3. Lines that cross are called lines. 4.

More information

Geometry 1-1. Non-collinear Points not on the same line. Need at least 3 points to be non-collinear since two points are always collinear

Geometry 1-1. Non-collinear Points not on the same line. Need at least 3 points to be non-collinear since two points are always collinear Name Geometry 1-1 Undefined terms terms which cannot be defined only described. Point, line, plane Point a location in space Line a series of points that extends indefinitely in opposite directions. It

More information

GEOMETRY. Background Knowledge/Prior Skills. Knows ab = a b. b =

GEOMETRY. Background Knowledge/Prior Skills. Knows ab = a b. b = GEOMETRY Numbers and Operations Standard: 1 Understands and applies concepts of numbers and operations Power 1: Understands numbers, ways of representing numbers, relationships among numbers, and number

More information

Elementary Planar Geometry

Elementary Planar Geometry Elementary Planar Geometry What is a geometric solid? It is the part of space occupied by a physical object. A geometric solid is separated from the surrounding space by a surface. A part of the surface

More information

MATH 113 Section 8.2: Two-Dimensional Figures

MATH 113 Section 8.2: Two-Dimensional Figures MATH 113 Section 8.2: Two-Dimensional Figures Prof. Jonathan Duncan Walla Walla University Winter Quarter, 2008 Outline 1 Classifying Two-Dimensional Shapes 2 Polygons Triangles Quadrilaterals 3 Other

More information

Definition / Postulates / Theorems Checklist

Definition / 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 information

An Approach to Geometry (stolen in part from Moise and Downs: Geometry)

An Approach to Geometry (stolen in part from Moise and Downs: Geometry) An Approach to Geometry (stolen in part from Moise and Downs: Geometry) Undefined terms: point, line, plane The rules, axioms, theorems, etc. of elementary algebra are assumed as prior knowledge, and apply

More information

COURSE OBJECTIVES LIST: GEOMETRY

COURSE OBJECTIVES LIST: GEOMETRY COURSE OBJECTIVES LIST: GEOMETRY Geometry Honors is offered. PREREQUISITES: All skills from Algebra I are assumed. A prerequisites test is given during the first week of class to assess knowledge of these

More information

Geometry Definitions and Theorems. Chapter 9. Definitions and Important Terms & Facts

Geometry Definitions and Theorems. Chapter 9. Definitions and Important Terms & Facts Geometry Definitions and Theorems Chapter 9 Definitions and Important Terms & Facts A circle is the set of points in a plane at a given distance from a given point in that plane. The given point is the

More information

Unit 10 Study Guide: Plane Figures

Unit 10 Study Guide: Plane Figures Unit 10 Study Guide: Plane Figures *Be sure to watch all videos within each lesson* You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass needed for a piece

More information

Unit 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

Unit 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 information

VOCABULARY. 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.

VOCABULARY. 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 information

West Windsor-Plainsboro Regional School District Basic Geometry Grades 9-12

West 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 information

A. 180 B. 108 C. 360 D. 540

A. 180 B. 108 C. 360 D. 540 Part I - Multiple Choice - Circle your answer: REVIEW FOR FINAL EXAM - GEOMETRY 2 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C.

More information

Math Polygons

Math Polygons Math 310 9.2 Polygons Curve & Connected Idea The idea of a curve is something you could draw on paper without lifting your pencil. The idea of connected is that a set can t be split into two disjoint sets.

More information

1. Revision Description Reflect and Review Teasers Recall basics of geometrical shapes.

1. Revision Description Reflect and Review Teasers Recall basics of geometrical shapes. 1. Revision Description Reflect and Review Teasers Recall basics of geometrical shapes. A book, a birthday cap and a dice are some examples of 3-D shapes. 1) Write two examples of 2-D shapes and 3-D shapes

More information

1.6 Classifying Polygons

1.6 Classifying Polygons www.ck12.org Chapter 1. Basics of Geometry 1.6 Classifying Polygons Learning Objectives Define triangle and polygon. Classify triangles by their sides and angles. Understand the difference between convex

More information

CURRICULUM GUIDE. Honors Geometry

CURRICULUM 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 information

Chapter 1-2 Points, Lines, and Planes

Chapter 1-2 Points, Lines, and Planes Chapter 1-2 Points, Lines, and Planes Undefined Terms: A point has no size but is often represented by a dot and usually named by a capital letter.. A A line extends in two directions without ending. Lines

More information

Northern York County School District Curriculum

Northern 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 information

theorems & postulates & stuff (mr. ko)

theorems & 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 information

Geometry Semester 1 Final Exam Study Guide FCS, Mr. Garcia

Geometry Semester 1 Final Exam Study Guide FCS, Mr. Garcia Name Date Period This is your semester 1 exam review study guide. It is designed for you to do a portion each day until the day of the exam. You may use the following formula to calculate your semester

More information

Geometry Vocabulary Word Wall Cards

Geometry 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 information

Geometry Foundations Pen Argyl Area High School 2018

Geometry Foundations 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 information

Essential Questions Content Skills Assessments Standards/PIs Resources/Notes. Restates a nonmathematical. using logic notation

Essential 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 information

STANDARDS OF LEARNING CONTENT REVIEW NOTES GEOMETRY. 3 rd Nine Weeks,

STANDARDS 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 information

High School Mathematics Geometry Vocabulary Word Wall Cards

High 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 information

added to equal quantities, their sum is equal. Same holds for congruence.

added 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 information

NFC ACADEMY COURSE OVERVIEW

NFC 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 information

Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review

Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Geometry Unit 6 Properties of Quadrilaterals Classifying Polygons Review Polygon a closed plane figure with at least 3 sides that are segments -the sides do not intersect except at the vertices N-gon -

More information

Geometry Mathematics. Grade(s) 10th - 12th, Duration 1 Year, 1 Credit Required Course

Geometry 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 information

Geometry. AIR Study Guide

Geometry. 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 information

Killingly Public Schools. Grades Draft Sept. 2002

Killingly 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

algebraic representation algorithm alternate interior angles altitude analytical geometry x x x analytical proof x x angle

algebraic 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 information

SHAPE AND STRUCTURE. Shape and Structure. An explanation of Mathematical terminology

SHAPE AND STRUCTURE. Shape and Structure. An explanation of Mathematical terminology Shape and Structure An explanation of Mathematical terminology 2005 1 POINT A dot Dots join to make lines LINE A line is 1 dimensional (length) A line is a series of points touching each other and extending

More information

An angle that has a measure less than a right angle.

An angle that has a measure less than a right angle. Unit 1 Study Strategies: Two-Dimensional Figures Lesson Vocab Word Definition Example Formed by two rays or line segments that have the same 1 Angle endpoint. The shared endpoint is called the vertex.

More information

CCSD Proficiency Scale - Language of Geometry

CCSD Proficiency Scale - Language of Geometry CCSD Scale - Language of Geometry Content Area: HS Math Grade : Geometry Standard Code: G-CO.1 application G-CO.1 Know precise definitions of angle, circle, perpendicular lines, parallel lines, and line

More information

Introduction to Geometry

Introduction to Geometry Introduction to Geometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (211 topics + 6 additional topics)

More information

Geometry. 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. 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 information

PA Core Standards For Mathematics Curriculum Framework Geometry

PA Core Standards For Mathematics Curriculum Framework Geometry Patterns exhibit relationships How can patterns be used to describe Congruence G.1.3.1.1 and Similarity G.1.3.1.2 described, and generalized. situations? G.1.3.2.1 Use properties of congruence, correspondence,

More information

The radius for a regular polygon is the same as the radius of the circumscribed circle.

The radius for a regular polygon is the same as the radius of the circumscribed circle. Perimeter and Area The perimeter and area of geometric shapes are basic properties that we need to know. The more complex a shape is, the more complex the process can be in finding its perimeter and area.

More information