Hon Geometry

Quarter 1 Exam Study Guide

 

The cumulative exam will be a paper and pencil exam, and you may use your TI-84. It 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 Part 1 of our Chapter Tests, you will use your Chromebook on Pearson's Math Lab (mlm.pearson.com) to answer questions. You will have a "Show-Your-Work" answer sheet for some of these MLM questions (but not all). You must show your for these MLM Questions to get full credit. There will also be some free response questions that you answer on paper, including two Triangle proofs where you will make your own two column proof, much like these. The Pearson MLM portion has 45 questions (62 points, 60 minutes), and the paper portion has 3 free response questions and 2 proofs (30 points). The exam will be curved so that the top score is 100. Answer in Pencil only, and use a TI-84 (or TI-83). Anyone using a pen or a TI n-spire (or any other CAS calculator), will not have the curve applied to their raw score.

Topics Covered

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. You may wish to make your own personal Qtr 1 Theorem Notebook as a very good starting place for review. Use your downloaded textbook (plus.pearson.com)to fill in any gaps in your memory.

The Topic Section has A topic for each of the four chapters with links to helpful videos and worksheets. A list of all the Theorems and Postulates are on page 605 of your textbook.

 

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.

Helpful Practice

The following links have helpful review practice:

  1. "Standardized Test" problems in the Textbook at the end of each chapter (pages 51, 99, 154, and 202 ) At the end of each chapter are multiple choice questions if you would like to practice that style of question (plus.pearson.com). 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.

  2. DeltaMath.com Practice Problems arranged by Chapter. These are are interactive problems that have infinite "Show an Example" buttons as well Links to Video Demonstrations on how to do a problem.
  3. Proving Congruent Triangles WS
  4. Proving Congruent Triangles WS Hints
  5. Pearson Math Lab Study Guides for Chapter 1-4 Tests
  6. Some Chapter 1-4 Test Bank Questions and Answers
  7. Basic Notation
  8. Parallels and Perpendiculars
  9. Congruent Triangles
  10. 8 Study Tips for Math
  11. Some old NY Regents Questions From Qtr 1 Topics(You can ignore pages 23-26 on transformations)

Finally...

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!