Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
History of geometry wikipedia , lookup
Multilateration wikipedia , lookup
Trigonometric functions wikipedia , lookup
Integer triangle wikipedia , lookup
Brouwer fixed-point theorem wikipedia , lookup
History of trigonometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Geometry Final Exam Review ● ● ● Below is a list of learning targets from the first semester that may be on the final exam. If a learning target is not listed that means it will not be tested on the final exam. Also listed are the important terms and definitions from each chapter. You can create a one page, two-sided final exam note sheet that you can use on the final exam. Consider including postulates/theorems, definitions, examples including drawings. Focus on the learning targets you need support on. If you are fluent at a particular learning target consider leaving it off of your notes sheet. FINAL EXAM ASSIGNMENT (10% of your final exam grade): You are to choose 30 problems from the ones listed. Follow these guidelines: Evens only Work must be shown for credit You must pick at least 5 problems from each chapter o You must do one algebra proof (from section 2-4) o You must do one other type of proof You can do up to 10 extra for extra credit Neatly organize your work clearly stating the chapter and problem number from the extra practice page Due on the final exam day CHAPTER 1 Angle Addition Postulate Segment Addition Postulate Distance Formula Angle bisector Segment bisector Terms from section 1-2 The #problems recommended are from the extra practice on page 803-804 unless otherwise noted I can name and draw the basic elements of geometry (section 1-2) do #9-13 I can use the distance formula to find the distance between points (section 1-3) do #20-22 I can define an angle including its parts and measurements (section 1-4) do #23-25, 29-31 I can use the angle addition postulate and angle bisectors to solve problems (section 1-4, 1-5) do #26-28, 3537 I can use the segment addition postulate and midpoint to solve problems (section 1-3, 1-5) do #14-19 CHAPTER 2 Properties of Equality Definition of Congruence Linear Pair Postulate (and linear pair definition) Vertical Angles Theorem (and vertical angles definition) Right Angle Congruence Theorem (and definition of right angles) Understand the difference between definitions and theorems/postulates. For example the Linear Pair definition compared to the Linear Pair Postulate. Use the extra practice on page 805-806 unless otherwise noted I can write and analyze conditional statements including its converse, inverse and contrapositives. (section 2-1) Do #4-7 I can write and analyze bi-conditional statements (section 2-2) do #10-15 I can use symbolic notation to represent logical statements (section 2-3) do #16-24 I can determine what properties of equalities to use and use the properties of equalities to justify steps when solving algebraic equations (section 2-4) do #25-29 AND #10-23 pg 99-100 (when solving write in two column proof format) CHAPTER 3 Know the special angles and their theorems/postulates Parallel lines Perpendicular lines Use the extra practice on page 807-808 unless otherwise noted I can use properties of parallel lines to solve problems and justify angle relationships. (section 3-1 to 3-3) do #3-12, 14-19 I can use slope to determine if two lines are parallel, perpendicular or neither AND I can write equations of parallel and perpendicular lines.(section 3-6, 3-7) do #26-37 CHAPTER 4 Names of triangles Triangle sum theorem Triangle Congruence postulates/Theorems (SSS, SAS, ASA, AAS, HL) Use the extra practice on page 809-810 unless otherwise noted I can use the Triangle Sum Theorem to find missing angle measures (section 4-1) do #1-4 I can use congruence theorems/postulates to prove triangles congruent (section 4-3, 4-4, 4-5) do #13-23 AND #10-15 pg 206 CHAPTER 5 Mid-segment theorem Triangle Inequality theorem Use the extra practice on page 811-812 unless otherwise noted I can compare side lengths and angle measures in one or more triangles (section 5-4,5-5) do #16-22, 29-37 DON’T FORGET TO MAKE YOUR FINAL EXAM NOTE SHEET AS YOU WORK THROUGH THIS STUDY GUIDE! 1 piece of paper, front and back.