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Name __________________________________________________ Final Exam - Review Sheet You will be tested on all of the topics for your final exam. Be sure you are able to do all of the different types of problems! BIG HINT: Know the vocab for each chapter!! I. BASIC SKILLS – We have done a lot of reviewing of basic skills this year. Your final will include this review. You should know how to do the following types of problems, without using a calculator: Multiplication Long division Adding, subtracting, multiplying, dividing fractions and mixed numbers Converting fractions to decimals and percents, and vice versa Order of operations Naming, adding, subtracting, multiplying, and dividing decimals II. CHAPTER 1 – You should know how to do the following things to review for chapter 1: Solve linear equations Be able to name lines, points, segments, rays, and planes Define coordinate plane, quadrants, ordered pair, x-axis, y-axis, origin, x-coordinate, ycoordinate, collinear, noncollinear, coplanar, noncoplanar and graph ordered pairs Graph a line in the form y = mx + b Solve area and perimeter problems Use the distance formula to find the distance between 2 pts on a number line and 2 pts in a coordinate plane Use the Pythagorean Theorem to find the length of the third side in a right triangle Find the midpoint of 2 points on a number line and 2 points in a coordinate plane Use a compass to copy and bisect a segment Measure, name, and classify angles Use a compass to copy and bisect an angle Use the angle addition postulate to find the measures of angles Identify and use adjacent angles, vertical angles, complementary angles, supplementary angles, linear pairs of angles, and perpendicular lines Determine what information can and cannot be assumed from a diagram Use the segment addition postulate Helpful handouts: Chapter 1 Notes Chapter 1 Vocab Test and Quizzes for Chapter 1 Measuring Angles WS, Identifying Angles WS Chapter 1 Mid-Chapter Test Chapter 1 Review Packet III. CHAPTER 2 – You should know how to do the following things to review for chapter 2: Make conjectures based on inductive and deductive reasoning and determine if conjectures are true or false Identify the hypothesis and conclusion of a conditional statement Write a statement in if-then form, write the converse and inverse, and identify if the converse and inverse are true or false Be able to provide counterexamples Be able to use postulates, theorems, and laws to write proofs Use the Law of Detachment and the Law of Syllogism to find valid conclusions Use the Properties of Equality for Real Numbers in proofs Be able to write a simple 2-column proof Helpful Handouts: Chapter 2 Notes Chapter 2 WS’s Chap 2 Quizzes and Test Postulates, Theorems, and Laws IV. CHAPTER 3 – You should know how to do the following things to review for chapter 3: Define and identify parallel lines, skew lines, and transversals Identify symbols for parallel and perpendicular lines Solve problems by drawing a diagram Name angles formed by a pair of lines and a transversal: exterior angles, interior angles, consecutive interior angles, alternate interior angles, alternate exterior angles, corresponding angles Use the properties of parallel lines to determine angle measures Find the slopes of lines and use slope to identify parallel and perpendicular lines ****Very Important! Be able to do this!! *** Prove 2 lines are parallel using angle relationships Helpful Handouts: Chapter 3 Notes Chapter 3 Vocab Sheet Chapter 3 Quizzes and Test Page 24-27 WS packet Chapter 3 Review Packet V. CHAPTER 4 – You should know how to do the following things to review for chapter 4: Identify the parts of triangles and classify triangles by their parts – acute triangle, obtuse triangle, right triangle, equiangular triangle, scalene triangle, isosceles triangle, and equilateral triangle Draw triangles with given conditions Identify and use the exterior angle and remote interior angles of a triangle Use the Angle Sum Theorem and the Exterior Angle Theorem Use given information and diagrams to find the measures of angles Name and label corresponding parts of congruent triangles Use SSS, SAS, AAS, and ASA to test for triangle congruence Solve a basic logic problem Use properties of isosceles and equilateral triangles Helpful Handouts: Chapter 4 Notes Chapter 4 Review Sheet and Packet Chapter 4 Test and Quizzes Chapter 4 Practice WS VI. CHAPTER 5 – You should know how to do the following things to review for chapter 5: Identify and use medians, altitudes, angle bisectors, and perpendicular bisectors Use LL, HA, LA, and HL to find congruence in right triangles Recognize relationships between sides and angles in a triangle Use the Triangle Inequality Theorem – determine if a triangle can be drawn with the given measures of the sides Use the SAS and SSS Inequalities Helpful Handouts: Chapter 5 notes Chapter 5 quizzes and test Chap 5 WS’s Chapter 5 Review Packet VI. CHAPTER 6 – You should know how to do the following things for chapter 6: Identify, know the properties of, and draw quadrilaterals, parallelograms, rhombi, squares, rectangles, trapezoids, isosceles trapezoids, and diagonals Be able to compare and contrast the above polygons Given 4 points on a coordinate plane, be able to identify what type of polygon the shape is Know what base angles and medians are Helpful Handouts: Chapter 6 Notes and Homework Postulate Sheet Chapter 6 Review Packet Chapter 6 Quizzes and Test VII. HOW TO STUDY FOR THIS EXAM – First, read over your notes! It will help you – we defined a lot of terms in your notes and it never hurts to look over examples. Go to the chapter review in your book and do a couple of problems and then check your answers in the back of the book or with Mrs. Beery. If you don’t understand something, ask right away – the day of the exam is too late! I know it is hard, but DON’T PROCRASTINATE! Start early, and maybe do one chapter at a time so that you are not overwhelmed. Have confidence!!!! A lot of this stuff is familiar, so concentrate on what you need to review, one step at a time. You can pass this test – it is just a big quiz. No Problem!!!