Quarter 1 Exam Study Guide
The cumulative exam will have multiple choice, short answer, and free response questions. Some multiple choice questions ask you to "fill-in-the-reason"
for a statement in a proof.
Like our Chapter Tests, you will use your iPad on Pearson's Math Lab (MLM) to answer questions. You will also be awarded points
using your "Show-Your-Work" answer sheet for some of these MLM questions (but not all). There will also be two Free response proofs where you will make your own two column proof, much like the ones we did
in classes 1-37 and 1-38. The Pearson MML has 45 questions, so 45 points can be awarded from your answers online,
25 points for your clear and correct work on the
“Show Your Work” for certain indicated questions, and 20 points for the 2 free response proofs. The exam will be curved so that the top score is 100.
The exam will primarily cover topics from the first four chapters of the Geometry book. Math skills and techniques from previous courses up to and including Honors Algebra 1 are required to answer some of the geometric questions on the exam. Your personal Qtr 1 Theorem Notebook is a very good starting place for review.
The following are the key topics we have studied thus far:
From chapter 1: Postulates, Axioms, Definitions, Theorems, Lines, Segment, Rays, Angles, Planes, intersections, Bisectors, Angular Bisectors, Vertical Angles, Supplements, and Complements, Midpoint and Distance Formulas, Segment Addition, Angle Addition, Constructions include Making a Hexagon from a circle, A perpendicular bisector, copying Segments and Angles, Bisecting an Angles and Segments.
From Chapter 2: Inductive and Deductive Reasoning, Conditional Statements (hypothesis, conclusion, converse, inverse, contrapositive), Biconditional Statements, Law of Detachment, Law of Syllogism, Truth tables (with conditionals, converse, inverse, and contrapositive), Distributive Property, Reflexive Symmetric and Transitive Properties of Equality, Theorems that prove Congruent Angles like: Equal Complements Theorem, Equal Supplements Theorem, Linear Pair Theorem, Vertical Angles are Congruent, Right Angles Congruent Theorem, Equal Supplementary Theorem, .
From Chapter 3: Perpendicular lines Parallel Lines, Skew lines, Transversals, Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Same-Side Interior angles, Linear equations, Parallel and Perpendicular Slopes, construct parallel and perpendicular lines. Constructions include Making a Parallel through a Point, Dropping a Perpendicular Line Through a Point (both on the line and not on the line)
From Chapter 4: The Sum of Interior Angles of a Triangle (180°), Exterior Angle Theorem, The acute angles of a right triangle are complementary, Third Angles Theorem, Types of Triangles (Scalene, Isosceles, Equilateral, Acute, Right, Obtuse), Using your Constructions to Copy a Triangle (SSS, SAS, AAS, ASA, HL). Triangle Congruency Postulates and Theorems: Side-Angle-Side (SAS), Side-Side-Side (SSS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), Hypotenuse-Leg (HL), Base Angle Theorem (Isosceles Triangle Theorem), Making a two column proof that proves statements based on corresponding parts of congruent triangles.
At the end of each chapter are multiple choice questions if you would like to practice that style of question. I recommend going over old quizzes and tests to remind yourself of the questions you mastered and to master those you need to understand better.
Additionally, the following links have helpful review practice:The exam is graded on a curve and represents 20% of your grade. Remember to go to bed at a descent hour so you are rested enough to think clearly, and have a healthy "Goldylocks" breakfast (not too big, not too small). Good luck!