Geometry Semester 1 Final Exam Study Guide FCS, Mr. Garcia
|
|
- Bernadette Miller
- 5 years ago
- Views:
Transcription
1 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 grade given an assumed final exam grade. (Current Re nweb Grade)x.90 + (semester exam) x.10 = final grade Topics that we have covered on chapters 1 through 4 are outlined below for your review. =============================================================================== Chapter 1: Points, Lines, and Planes Point, line, plane are undefined terms. They do not need to be defined. Definitions or defined terms are explained using undefined terms and/or other defined tersms. Space is defined as a boundless, 3-dimensional set of all points. Space can contain lines and planes. 1. How do you name a line?, a line segment?, a ray?, a plane?, an angle,, a triangle?, a quadrilateral?, a pentagon?. 2. What does it mean for 3 or more points to be collinear?, Noncollinear?. 3. What does it mean for 3 or more points to be coplanar?, Noncoplanar?. Relationships of lines and planes: 4. What does it mean for 2 lines to be parallel?. 5. What is the symbol for parallel? What is the symbol for perpendicular?. 6. When 2 lines intersect, they intersect at a p. 7. When a line and a plane intersect, they intersect at a p. 8. When 2 planes intersect, they intersect at a l. 9. An angle bisector could be a s, a l, or a r. 10. Any segment, line, or plane that intersects a segnment at its m is called a Segment b. 11. When a line segment, a ray, or a line, bisects a segment, the bisector creates two s that are equal in m, or equal in l. 12. If 2 segments are equal in length, or in measure, then they are said to be c. The postulate that states this is called?. Look it up in you textbook. 13. When a line segment, a ray, or a line, bisects an angle, it creates two c angles, and their measures are e. 14. What is the difference between an expression and an equation? Write an example of each. 1
2 15. A point where the 2 sides of an angle meet is called? V. Δy 16. The slope of a line can be calculated when you are given 2 p. Δx 17. What is the slope formula? Look it up in your textbook. 18. The Pythagorean theorem formula and the distance formula are really the same, however you use the Pythagorean formula, c 2 = a 2 + b 2, when you are given 2 d, and you use the distance formula, problems to show their use. (x 2 x 1 ) 2 + ( y 2 y 1 ) 2, when you are given 2 p. Write 2 example 19. The midpoint of a segment is the point halfway between the e of a segment. sum of x ' s sum of y ' s x 20. You use the midpoint formula (pg. 27), (, ) or 1+ x2 y1+ y2 (, ), when you are given 2 p, and you are asked to find the midpoint of a s. Create a problem example and solve it. Find the slope of the line through the given points. 21. A(-3,8), B(4,2) 22. What is the slope of any line parallel to the line through points A and B? 23. What is the slope of any line perpendicular to the line through points A and B? 24. C(1,-3), D(9,-9) 25. What is the slope of any line parallel to the line through points C and D? 26. What is the slope of any line perpendicular to the line through points C and D? 27. E(-2,-3), F(-6,-5) 28. What is the slope of any line parallel to the line through points E and F? 29. What is the slope of any line perpendicular to the line through points E and F? ============================================================================== Chapter 1-1 exercises. Refer to the figure to the right to answer problems 1-7. X 1. The line intersecting plane P. 2. The intersection of AC and XF. 3. Are points B, F, and X collinear? 4. Are points A, B, and X coplanar? 5. Are points A, B, and X contained in Plane P? D A B F C P 6. Identify 3 non-collinear points 7. Identify 4 non-coplanar points. j 2
3 Use the midpoint theorem and the segment addition property and the distance formula to solve the following problems. 8. If B is the midpoint of AC and AB = 2x 3 and BC = 5x 24, find x, AB, and BC. X =, AB =, BC = 9. If XB = 14 and XF = 20, find BF. 10. If B is the midpoint of XF and XB = x + 11 and BF = 5x 1, find x and XF., 11. If AB = 3x, BC = x + 2, and AC = 38, find x and AB., 12. If the coordinate x of G is 8 and the x coordinate of H is 9, find GH. 13. Find the midpoint of the segment having the given endpoints: a. A(-2, -4), B(3, 8) b. C( 3, -4), D( -3, -1) c. E( 2, 1), F(5, 1) 14. Find the distance between the given endpoints: a. A(-2, -4), B(3, 8) b. C( 3, -4), D( -3, -1) c. E( 2, 1), F(5, 1) d. If the length of PQ is twice the length of AB, then find PQ. e. If the length of RS is one third the length of EF, then find RS. 15. Find the coordinates of A, the missing endpoint, if B(-2, 5) is the midpoint of AC, and the coordinates of C are (-5, 4). See example 5 on page 28. Also do, Pg : 2-22 (even); (more practice exercises). ============================================================================== Chapter 1-4, Pg. 36 Angle Measure 1. An angle is formed by two noncollinear rays that have a common endpoint. The rays are called s of the angle. The common endpoint is the v of the angle and it must always be in the center of the name of the angle. Angles are measure in d. 2. There 3 types of angles: a r angle; it measures degrees. 3. An a angle; it measures < 90 degrees, and an o angle; it measures degrees. 4. One could say that there is a fourth type of angle called the straight angle, which is just a line made up of two opposite rays; it measures 180 d. 3
4 1-5 Angle pair relationships 1. Adjacent angles are 2 angles that have a common v and a common s, but no common interior points. Draw an example of 2 adjacent angles and a counterexample. 2. A linear pair is a pair of adjacent angles with noncommon sides that are opposite r. Draw an example of a linear pair and a counter example. 3. Vertical angles are two nonadjacent angles formed by two intersecting lines. Draw an example of vertical angles and a counterexample. 4. Complementary angles are two angles, whose m add up to 180 d. Draw an example. 5. Supplementary angles are two angles, whose m add up to 180 d. Draw an example. 6. Perpendicular lines intersect to form f right a. Draw a picture that illustrates this. Add the right angle symbol to your drawing. The symbol of perpendicular is. ============================================================================= Refer to Figure 2. Matching, you may use more than one letter to describe the angle(s) and and and and BOE 5. 1 and 6 6. AOF and BOE 7. AOC and COE 8. 2 and and AOD a. acute angles b. right angles c. obtuse angles d. adjacent angles e. linear pair f. complementary angles g. supplementary angles h. vertical angles i. congruent angles B A 1 C O G D 5 F E Figure 2 4
5 ============================================================================= Refer to figure 2 to solve problems If m 3 = 27, then m 4 =, and m 1 + m BOD = m. 12. If m 1 = 46 and m 4 = 59, then m DOF =. 13. If OD bisects COE, then m 4 =. 14. If OD BF, then m 4 + m 5 =. 15. If OD BF and m 4 = 65, then m 1 =, and m 2 =, m 6 =, m AOF =. 16. If OD BF, name all the pairs of complementary angles. 17. If OD is the bisector of BF, which segments are congruent? B A 1 C O 6 G D 5 F Figure 2 E 18. Name the vertex of DOF. 19. Write another name for 6. ============================================================================= Refer to figure 3 to solve problems Given: m 2 = 9x +28 and m 3 = 47 2x, x =, m 2 = 21. Given: m 1 = 3x + 5 and m 3 = 65, x = Given: m 2 = 9x +2 and m 4 = 7x + 36, x =, m 2 = Figure Given: m 1 = x-9 and m 2 = 2x, x =, m 1 = Do problems page 80-81: (even). 1-6 and 1-7 Two and Three Dimensional Figures 1. A polygon is a closed figure formed by a finite number of c segments called s such that the sides have a common e are noncoplanar, and each side intersects exactly 2 other sides, but only at their e. 2. The vertex of each angle is a vertex of the polygon. A polygon is named by the letters of its v. Written in the order of the consecutive v. 3. A polygon can be c and convex. 4. A polygon with 4 sides is called a q. One with five sides is called a p. One with n-sides is called an n-gon. In the name Polygon, poly stands for m and gon stands for s. 5
6 5. An equilateral polygon is a polygon in which all s are congruent, and an equiangular polygon is one in which all a are c. 6. A convex polygon that is both equiangular and e is called a r polygon. 7. The perimeter of a polygon is the s of the lengths of the s. The circumference of a circle is the d around the circle. 8. The area of a figure is the number of square units needed to cover a s. Review all the formulas on page 58 in your textbook. Draw the figure and write the formula underneath it. 9. Dasan has 32 feet of fencing to fence in a play area for his dog. Which shape of play area uses the modt or all of the fencing and encloses the largest area? a. Circle with radius of about 5 feet b. Rectangle with length 5 feet and width 10 feet c. Right triangle with legs of length 10 feet each d. Square with side length 8 feet 10. Find the perimeter and area of ABC with vertices A(-1, 4), B(-1, -1), and C(6, -1). 11. A rectangle of area 360 sq. meters is 10 times as long as it is wide. Find its length and width. 12. The vertices of a rectangle with side lengths of 10 and 24 units are on a circle of radius 13 units. Find the area between the figures
7 See page 67 to review 3-Dimensional figures. 1. A solid figure with all flat surfaces that enclose a single region of space is called a p. Each flat surface or face is a polygon. The line segments where the faces intersect are called e. The point where the 3 or more edges intersect is called a v. 2. A prism is a polyhedron with two parallel congruent f called b connected by parallelogram faces. Draw one example. 3. A pyramid is a polyhedron that has a polygonal b and 3 or more triangular f that meet at a common v (peak). Draw one example. 4. A cylinder is a solid with congruent parallel circular b connected by a curved s. Draw a picture. 5. A cone is a solid with a circular base connected by a curved s to a single v. Draw a picture 6. A sphere is a set of points in space that are the same distance from a given p. A sphere has no faces, no e, and no v. Draw a picture. 7. Find the volume of a cube that has a total surface area of 54 square millimeters. See page 69 for formulas of following 3-D figures: 8. Prism, regular pyramid, cylinder, cone, and sphere. Draw a picture of each figure listed and write the formulas for volume and surface area underneath them. 9. Do problems on page 81-82: (all). 7
8 A word problem having to do with the equation of a line. It s the end of the semester, and the clubs at school are recording their profits. The Science Club started out at $20 and has increased its balance by an average of $10 per week. The Math Club saved $5 a week and started out with $50 at the beginning of the semester. a) Define x and y to fit the problem. b) make a table of values for each club. c) Write an equation for each club. d) Draw a complete graph for each rule and the same axes. e) When do the clubs have the same balance? Show how you can get this number both with the graph and with the equations in c above. f) What is the balance at that point? 8
9 9
10 ============================================================================================= Chapter 2 Logic & Reasoning Terms: 1. Deductive r uses facts, rules, definitions, theorems, or properties to reach logical conclusions. 2. A counterexample is a f example about a conjecture, it could be a number, a drawing or a statement. 3. I reasoning uses a pattern of examples or observations to make a conjecture, or an intelligent guess. 4. Conjecture is a conclusion reached by using i reasoning. The h is the if part of a conditional statement, and the then part is its c. 5. A conditional statement is a statement that can be written in if-then form. The if part of a conditional statement is called the h, and the then part is called the conclusion. 6. The converse of a conditional is formed by exchanging the hypothesis and c. 7. The inverse is formed by negating both the h and the c. 8. The contrapositive is formed by n both the hypothesis and the conclusion of the converse statement. 9. A postulate or axiom is a statement that is accepted as true without p. 10. A theorem is has to be p for it to be accepted as true. 11. Go to page 127 to read and memorize postulates 2.1 to 2.7. Go to page 144 to read/memorize postulates 2.8 and A 2-column proof is a proof base on deductive r. 13. See page 145 or Theorem 2.2 Properties of Segment Congruence. 14. Page 151 Postulate 2.10 Protractor Postulate Angle Addition Postulate states: m ABD + m DBC = m ABC. Draw a figure that matches the postulate description. 16. Read the following instruction carefully to fill in the blanks below. Each Instruction after the letters corresponds with the letters under each number. A. Restate each of the following given statement into an if-then statement. B. Underline the hypothesis and circle the conclusion. C. Is the statement true or false? Circle your answer. D. Write the converse of the conditional and determine whether it is true or false. E. Write the inverse of the conditional and determine whether it is true or false. F. Write the contrapositive of the conditional and determine whether it is true or false. G. If possible, write the bi-conditional statement in if and only if form. If not, write a counter example demonstrating why not. 1. Tardy students receive detention. A. & B. C. T or F D. T or F E. T or F 10
Geometry Semester 1 Final Exam Study Guide FCS, Mr. Garcia 12/8/14
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 on Thursday of next week. Topics that we have covered on chapters
More informationDepartment: 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 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 informationGeometry 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 informationChapter 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 informationGeometry 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 informationSection 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 informationDear Parents/Students,
Dear Parents/Students, In the summer time, many necessary mathematical skills are lost due to the absence of daily exposure. The loss of skills may result in a lack of success and unnecessary frustration
More informationT103 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 information1) Draw line m that contains the points A and B. Name two other ways to name this line.
1) Draw line m that contains the points A and B. Name two other ways to name this line. 2) Find the next 3 terms in the sequence and describe the pattern in words. 1, 5, 9, 13,,, 3) Find the next 3 terms
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 informationGEOMETRY. 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 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 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 information1-1. Points, Lines, and Planes. Lesson 1-1. What You ll Learn. Active Vocabulary
1-1 Points, Lines, and Planes What You ll Learn Scan the text in Lesson 1-1. Write two facts you learned about points, lines, and planes as you scanned the text. 1. Active Vocabulary 2. New Vocabulary
More informationThere are two ways to name a line. What are the two ways?
Geometry: 1-1 Points, Lines and Planes What are the Undefined Terms? The Undefined Terms are: What is a Point? How is a point named? Example: What is a Line? A line is named two ways. What are the two
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 informationMoore 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 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(Current Re nweb Grade)x.90 + ( finalexam grade) x.10 = semester grade
2//2 5:7 PM Name ate Period This is your semester exam which is worth 0% of your semester grade. You can determine grade what-ifs by using the equation below. (urrent Re nweb Grade)x.90 + ( finalexam grade)
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 informationM2 GEOMETRY REVIEW FOR MIDTERM EXAM
M2 GEOMETRY REVIEW FOR MIDTERM EXAM #1-11: True or false? If false, replace the underlined word or phrase to make a true sentence. 1. Two lines are perpendicular if they intersect to form a right angle.
More informationFALL SEMESTER EXAM Directions: You must show work for all the problems. Unit 1. Angle. Angle Addition Postulate. Angle Bisector. Length of a segment
Name FALL SEMESTER EXAM Directions: You must show work for all the problems. Unit 1 Period Angle Angle Addition Postulate Angle Bisector Length of a segment Line Midpoint Right Angle Segment Segment Addition
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 informationMoore 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 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 informationGeometry - Chapter 1 - Corrective #1
Class: Date: Geometry - Chapter 1 - Corrective #1 Short Answer 1. Sketch a figure that shows two coplanar lines that do not intersect, but one of the lines is the intersection of two planes. 2. Name two
More informationGeometry Review for Semester 1 Final Exam
Name Class Test Date POINTS, LINES & PLANES: Geometry Review for Semester 1 Final Exam Use the diagram at the right for Exercises 1 3. Note that in this diagram ST plane at T. The point S is not contained
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 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 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 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 informationTerm 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 informationB. Section 1.1. Chapter 1 Review Booklet A. Vocabulary Match the vocabulary term with its definition. 3. A pair of opposite rays on line p.
A. Vocabulary Match the vocabulary term with its definition. Point Polygon Angle Sides Postulate Collinear Opposite Rays Vertical angles Coplanar Linear Pair Complementary Vertex Line Adjacent Plane Distance
More informationAnswer 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 informationNAME DATE PERIOD. Study Guide and Intervention
NM T IO 1-5 tudy Guide and Intervention ngle elationships airs of ngles djacent angles are two angles that lie in the same plane and have a common vertex and a common side, but no common interior points.
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 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 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 informationGrade 9 Math Terminology
Unit 1 Basic Skills Review BEDMAS a way of remembering order of operations: Brackets, Exponents, Division, Multiplication, Addition, Subtraction Collect like terms gather all like terms and simplify as
More informationCOURSE 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 information1. A statement is a set of words and/or symbols that collectively make a claim that can be classified as true or false.
Chapter 1 Line and Angle Relationships 1.1 Sets, Statements and Reasoning Definitions 1. A statement is a set of words and/or symbols that collectively make a claim that can be classified as true or false.
More information25. 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 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 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 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 informationMANHATTAN 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, 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 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 informationFinal 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 informationGeometry ~ Chapter 1 Capacity Matrix
Geometry ~ Chapter 1 Capacity Matrix Learning Targets 1. Drawing and labeling the Geometry Vocabulary 2. Using the distance and midpoint formula 3. Classifying triangles and polygons Section Required Assignments
More informationGeometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26)
Geometry Lesson 1-1: Identify Points, Lines, and Planes Name Hr Pg. 5 (1, 3-22, 25, 26) Learning Target: At the end of today s lesson we will be able to successfully name and sketch geometric figures.
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 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 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 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 informationpine 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 informationChapter 1. Essentials of Geometry
Chapter 1 Essentials of Geometry 1.1 Identify Points, Lines, and Planes Objective: Name and sketch geometric figures so you can use geometry terms in the real world. Essential Question: How do you name
More informationGeometry 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 informationGeometry Curriculum Guide Dunmore School District Dunmore, PA
Geometry Dunmore School District Dunmore, PA Geometry Prerequisite: Successful completion Algebra I This course is designed for the student who has successfully completed Algebra I. The course content
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 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 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 informationPacing Guide. Geometry. Quarter 1
1 Start-Up/ Review ***************** ***** Note: Reteaching from Ready to Go On Quizzes indicate time built in for Intervention lessons/ student mastery of previously taught material. Wk 2 1.1: Understanding
More informationTest Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6
Test Review: Geometry I TEST DATE: ALL CLASSES TUESDAY OCTOBER 6 Notes to Study: Notes A1, B1, C1, D1, E1, F1, G1 Homework to Study: Assn. 1, 2, 3, 4, 5, 6, 7 Things it would be a good idea to know: 1)
More informationAn 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 informationGeometry Honors Curriculum Guide Dunmore School District Dunmore, PA
Geometry Honors Dunmore School District Dunmore, PA Geometry Honors Prerequisite: Successful Completion of Algebra I Honors K This course is designed for the student who has successfully completed Algebra
More informationGeometry Workbook WALCH PUBLISHING
Geometry Workbook WALCH PUBLISHING Table of Contents To the Student..............................vii Unit 1: Lines and Triangles Activity 1 Dimensions............................. 1 Activity 2 Parallel
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 informationGeometry 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 informationCCSD 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 informationThis image cannot currently be displayed. Course Catalog. Geometry Glynlyon, Inc.
This image cannot currently be displayed. Course Catalog Geometry 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: INTRODUCTION... 1 UNIT 2: LOGIC... 1 UNIT 3: ANGLES AND PARALLELS...
More informationLines 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 informationTOPIC 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 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 information15. K is the midpoint of segment JL, JL = 4x - 2, and JK = 7. Find x, the length of KL, and JL. 8. two lines that do not intersect
Name: Period Date Pre-AP Geometry Fall Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1. three non-collinear points 2. one line in three different ways
More informationCurriculum Catalog
2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents GEOMETRY COURSE OVERVIEW...1 UNIT 1: INTRODUCTION... 1 UNIT 2: LOGIC... 1 UNIT 3: ANGLES AND PARALLELS... 2 UNIT 4: CONGRUENT TRIANGLES
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 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 informationGeometry 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 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 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 informationGeometry Midterm Review
Geometry Midterm Review **Look at Study Guide and old tests The Midterm covers: Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Parts of Chapter 6 Chapter 1 1.1 point: - has no dimension - represented
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 informationObjectives: (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting lines and planes
Geometry Chapter 1 Outline: Points, Lines, Planes, & Angles A. 1-1 Points, Lines, and Planes (What You ll Learn) Identify and model points, lines, planes Identify collinear and coplanar points, intersecting
More informationPoint A location in geometry. A point has no dimensions without any length, width, or depth. This is represented by a dot and is usually labelled.
Test Date: November 3, 2016 Format: Scored out of 100 points. 8 Multiple Choice (40) / 8 Short Response (60) Topics: Points, Angles, Linear Objects, and Planes Recognizing the steps and procedures for
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/Trigonometry Summer Assignment
Student Name: 2017 Geometry/Trigonometry Summer Assignment Complete the following assignment in the attached packet. This is due the first day of school. Bring in a copy of your answers including ALL WORK
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 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 informationBENCHMARK Name Points, Lines, Segments, and Rays. Name Date. A. Line Segments BENCHMARK 1
A. Line Segments (pp. 1 5) In geometry, the words point, line and plane are undefined terms. They do not have formal definitions but there is agreement about what they mean. Terms that can be described
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 informationSouth Carolina College- and Career-Ready (SCCCR) Geometry Overview
South Carolina College- and Career-Ready (SCCCR) Geometry Overview In South Carolina College- and Career-Ready (SCCCR) Geometry, students build on the conceptual knowledge and skills they mastered in previous
More informationTerm 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 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 informationIntroduction 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 informationGeometry Mathematics Content Standards
85 The geometry skills and concepts developed in this discipline are useful to all students. Aside from learning these skills and concepts, students will develop their ability to construct formal, logical
More informationGeometry Formulas. Area Formulas. Volume Formulas. Other Formulas. Special Right Triangles. d x x y y. 1 p. A bh A(Parallelogram)
Geometry Formulas Area Formulas Lateral Area of cylinder C h rh Surface Area of prisms and cylinders LA B Lateral Area of prism Lateral Area of cone Lateral Area of pyramid A(Circle) p h Surface Area of
More informationSection 1.1 Notes. Points - have no size or dimension and named using capital letters A
Section 1.1 Notes Building Blocks of Geometry Undefined Terms: Points - have no size or dimension and named using capital letters A Lines - have no thickness (1D) and extend forever. Named using 2 points
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 information