GRADUATE RECORD EXAMINATIONS®
Math Review
Large Print (18 point) Edition
Chapter 3: Geometry
Copyright © 2010 by Educational Testing Service. All
rights reserved. ETS, the ETS logo, GRADUATE RECORD
EXAMINATIONS, and GRE are registered trademarks
of Educational Testing Service (ETS) in the United States
and other countries.
,The GRE® Math Review consists of 4 chapters: Arithmetic, Algebra,
Geometry, and Data Analysis. This is the Large Print edition of the
Geometry Chapter of the Math Review. Downloadable versions of
large print (PDF) and accessible electronic format (Word) of each of
the 4 chapters of the Math Review, as well as a Large Print Figure
supplement for each chapter are available from the GRE® website.
Other downloadable practice and test familiarization materials in large
print and accessible electronic formats are also available. Tactile
figure supplements for the 4 chapters of the Math Review, along with
additional accessible practice and test familiarization materials in
other formats, are available from ETS Disability Services Monday
to Friday 8:30 a.m. to 5 p.m. New York time, at 1-609-771-7780,
or 1-866-387-8602 (toll free for test takers in the United States,
U.S. Territories, and Canada), or via email at .
The mathematical content covered in this edition of the Math Review
is the same as the content covered in the standard edition of the Math
Review. However, there are differences in the presentation of some of
the material. These differences are the result of adaptations made for
presentation of the material in accessible formats. There are also slight
differences between the various accessible formats, also as a result of
specific adaptations made for each format.
-2-
,Table of Contents
Overview of the Math Review............................................................ 4
Overview of this Chapter .................................................................... 5
3.1 Lines and Angles........................................................................... 5
3.2 Polygons...................................................................................... 11
3.3 Triangles ..................................................................................... 14
3.4 Quadrilaterals.............................................................................. 24
3.5 Circles ......................................................................................... 30
3.6 Three-Dimensional Figures ........................................................ 41
Geometry Exercises .......................................................................... 46
Answers to Geometry Exercises ....................................................... 57
-3-
, Overview of the Math Review
The Math Review consists of 4 chapters: Arithmetic, Algebra,
Geometry, and Data Analysis.
Each of the 4 chapters in the Math Review will familiarize you with
the mathematical skills and concepts that are important to understand
in order to solve problems and reason quantitatively on the
Quantitative Reasoning measure of the GRE® revised General Test.
The material in the Math Review includes many definitions,
properties, and examples, as well as a set of exercises (with answers)
at the end of each chapter. Note, however, that this review is not
intended to be all-inclusive—there may be some concepts on the test
that are not explicitly presented in this review. If any topics in this
review seem especially unfamiliar or are covered too briefly, we
encourage you to consult appropriate mathematics texts for a more
detailed treatment.
-4-
Math Review
Large Print (18 point) Edition
Chapter 3: Geometry
Copyright © 2010 by Educational Testing Service. All
rights reserved. ETS, the ETS logo, GRADUATE RECORD
EXAMINATIONS, and GRE are registered trademarks
of Educational Testing Service (ETS) in the United States
and other countries.
,The GRE® Math Review consists of 4 chapters: Arithmetic, Algebra,
Geometry, and Data Analysis. This is the Large Print edition of the
Geometry Chapter of the Math Review. Downloadable versions of
large print (PDF) and accessible electronic format (Word) of each of
the 4 chapters of the Math Review, as well as a Large Print Figure
supplement for each chapter are available from the GRE® website.
Other downloadable practice and test familiarization materials in large
print and accessible electronic formats are also available. Tactile
figure supplements for the 4 chapters of the Math Review, along with
additional accessible practice and test familiarization materials in
other formats, are available from ETS Disability Services Monday
to Friday 8:30 a.m. to 5 p.m. New York time, at 1-609-771-7780,
or 1-866-387-8602 (toll free for test takers in the United States,
U.S. Territories, and Canada), or via email at .
The mathematical content covered in this edition of the Math Review
is the same as the content covered in the standard edition of the Math
Review. However, there are differences in the presentation of some of
the material. These differences are the result of adaptations made for
presentation of the material in accessible formats. There are also slight
differences between the various accessible formats, also as a result of
specific adaptations made for each format.
-2-
,Table of Contents
Overview of the Math Review............................................................ 4
Overview of this Chapter .................................................................... 5
3.1 Lines and Angles........................................................................... 5
3.2 Polygons...................................................................................... 11
3.3 Triangles ..................................................................................... 14
3.4 Quadrilaterals.............................................................................. 24
3.5 Circles ......................................................................................... 30
3.6 Three-Dimensional Figures ........................................................ 41
Geometry Exercises .......................................................................... 46
Answers to Geometry Exercises ....................................................... 57
-3-
, Overview of the Math Review
The Math Review consists of 4 chapters: Arithmetic, Algebra,
Geometry, and Data Analysis.
Each of the 4 chapters in the Math Review will familiarize you with
the mathematical skills and concepts that are important to understand
in order to solve problems and reason quantitatively on the
Quantitative Reasoning measure of the GRE® revised General Test.
The material in the Math Review includes many definitions,
properties, and examples, as well as a set of exercises (with answers)
at the end of each chapter. Note, however, that this review is not
intended to be all-inclusive—there may be some concepts on the test
that are not explicitly presented in this review. If any topics in this
review seem especially unfamiliar or are covered too briefly, we
encourage you to consult appropriate mathematics texts for a more
detailed treatment.
-4-
