Andre Castagna - Regents Exams and Answers Geometry Revised Edition

Copyright 2021, 2020, 2018, 2017, 2016 by Kaplan, Inc., d/b/a Barrons Educational Series

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To my loving wife Loretta, who helped make this endeavor possible with her unwavering support; my geometry buddy, Eva; and my future geometry buddies, Rose and Henry, and my professional colleagues for their patience and understanding.

This book is designed to prepare you for the New York State Geometry Common Core Regents and is aligned to the Common Core Geometry Learning Standards. The key features you will find in this book are:

• Test-Taking Tips Advice and test-day strategies are provided to help you earn as many points as possible on the exam.

• Brief Review of Geometry Concepts A concise summary of the theorems, formulas, and math skills needed for success on the Regents exam is provided. Much of the information is presented in bulleted or table form to make it easy for you to use as a refresher and study aid. This summary is intended to supplement the more thorough presentation of high school geometry found in the Barrons Lets Review: Geometry book.

• Glossary A full glossary is found at the end of the Brief Review section. Be sure to look up any word that you are unfamiliar with as you work through the practice problems. Geometry is a vocabulary-intensive subject.

• Actual Regents Exams and Step-by-StepSolutions with Explanations Each of the problems in this book has a detailed solution. All steps in the solution are shown, along with an explanation of the relevant geometry theorems and concepts applied. Solutions to many of the multi-step problems begin with a summary of the big-picture strategy to be used in that problem. These solutions are an excellent way to strengthen your geometry knowledge. Understanding why particular strategies and concepts were chosen will make you a much more effective problem solver when you come across similar problems. Note that solving linear equations is an algebraic tool that is used frequently in Regents problems. It is expected that you have mastered that skill, and not all steps in solving linear equations are explicitly explained. For example, if you have the equation 2x + 4 = 12, then the next line of the solution may read 2x = 8. It is assumed that you understand that we subtracted 4 from each side in order to separate the variable from the constants in the equation.

• Self-Analysis Charts There is a self-analysis chart at the end of each Regents exam. The chart lists the main topic areas and shows which questions fall into which category. Use the chart to record how many points were earned on that practice exam, broken down by each topic area. You can then target areas of weakness for follow-up study and practice. You can also use the charts to find problems covering similar topics on other Regents exams in this book.

The common core geometry Regents is a 3-hour exam and consists of four parts:

Part I consists of 24 multiple-choice questions worth 2 points each. Part II consists of 7 constructed-response questions worth 2 points each, and part III consists of 3 constructed-response questions worth 4 points each. Part IV consists of 2 constructed-response questions worth 6 points each. One part IV question will either involve a multiple-step proof or ask you to develop an extended logical argument. The second question will require you to use modeling to solve a real-world problem.

The complete set of Geometry Common Core Learning Standards are listed in the Appendix. They are grouped in domains, and each domain accounts for a specified percentage of the total points on the exam, shown in the accompanying table. Note that some domains account for a far greater percentage of points than others. The domains are further divided into clusters with different levels of emphasis on the exammajor, supporting, and additional.