Master Key to the GRE Vol. 5

Geometry

Need help with GRE questions that involve Geometry? You've come to the right place.

Volume 5 of Master Key to the GRE is the only guide to GRE math that will teach you everything you need to know about GRE questions involving Geometry.

Samples

Chapter 2 Preview

Triangles

Crazy Pythagorean Triangles

Geometry Preview

Video Solutions for Practice Questions

Over 800 of these included with the book

Table of Contents

Chapter 1

Lines & Angles

Fundamental Concepts

Get a sense of how to use our books, how to study properly for the GRE, and how to access our online video content.

  1. 1
    Introduction
  2. 2
    Straight Lines & Opposing Angles
  3. 3
    Perpendicular & Parallel Lines
  4. 4
    Bisectors & Midpoints
  5. 5
    Polygons
  6. 6
    Interior Angles
  7. 7
    Exterior Angles
  8. 8
    The Exterior Angles of a Triangle
  9. 9
    Shapes Within Shapes
  10. 10
    Can You Trust the Diagrams?

Strategy Concepts

Geometry is more than a collection of facts and formulas. To solve the most difficult questions, you need to complement the essential concepts with the following tactics.

  1. 11
    Strategy 101
  2. 12
    The “180° – x” Trick
  3. 13
    Picking Numbers

Practice Questions

  1. 14
    Problem Sets
  2. 15
    Solutions
  3. 16
    Video Solutions

Chapter 2

Triangles

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  1. 1
    Introduction
  2. 2
    Angles & Sides
  3. 3
    Equilaterals & Isosceles
  4. 4
    Right Triangles
  5. 5
    45°–45°–90° Triangles
  6. 6
    30°–60°–90° Triangles
  7. 7
    Area & Altitudes
  8. 8
    Perimeter & the Triangle Inequality Theorem
  9. 9
    Spatial Reasoning Problems

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  1. 10
    Similar Triangles
  2. 11
    Acute & Obtuse Triangles
  3. 12
    Crazy Pythagorean Triangles
  4. 13
    Hexagons & Octagons

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  1. 14
    Problem Sets
  2. 15
    Solutions
  3. 16
    Video Solutions

Chapter 3

Quadrilaterals & Rectangular Solids

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  1. 1
    Quadrilaterals
  2. 2
    Parallelograms
  3. 3
    Rectangles & Squares
  4. 4
    Trapezoids
  5. 5
    Unusual Shapes
  6. 6
    Shaded Areas
  7. 7
    Rectangular Solids & Cubes
  8. 8
    Questions Without Values

Rare or Advanced Concepts

The following concepts are either advanced or are tested only on rare occasions. If you don’t need an elite math score, don’t waste your time!

  1. 9
    The Volume Trap Rhombuses
  2. 10
    Maximizing Volume
  3. 11
    The Area & Perimeter “Guess Trick”

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  1. 12
    Problem Sets
  2. 13
    Solutions
  3. 14
    Video Solutions

Chapter 4

Circles & Cylinders

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  1. 1
    Introduction
  2. 2
    Circumference & Area
  3. 3
    Arcs & Sectors
  4. 4
    Inscribed Angles
  5. 5
    Inscribed & Circumscribed Polygons
  6. 6
    Chords & Tangents
  7. 7
    Cylinders

Strategy Concepts

Geometry is more than a collection of facts and formulas. To solve the most difficult questions, you need to complement the essential concepts with the following tactics.

  1. 8
    Don’t Forget the Center
  2. 9
    Label Every Radius
  3. 10
    Problems Without Values x Asswholes
  4. 11
    Unusual Shapes
  5. 12
    Spatial Reasoning

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  1. 13
    Problem Sets
  2. 14
    Solutions
  3. 15
    Video Solutions

Chapter 5

Coordinate Geometry

Fundamental Concepts

Whether you’re aiming for a perfect score or a score closer to average, mastery of the following concepts is essential.

  1. 1
    Introduction
  2. 2
    Distance & Midpoints
  3. 3
    Slope & the Slope Formula
  4. 4
    Graphing Equations
  5. 5
    Finding the x-Intercept
  6. 6
    Horizontal & Vertical Lines
  7. 7
    Parallel & Perpendicular Lines
  8. 8
    Intersecting Lines
  9. 9
    Finding the Equation of a Graphed Line
  10. 10
    Strategy Overview
  11. 11
    Practice Drills

Rare or Advanced Concepts

Geometry is more than a collection of facts and formulas. To solve the most difficult questions, you need to complement the essential concepts with the following tactics.

  1. 12
    Graphing Inequalities
  2. 13
    Reflections
  3. 14
    Graphing Circles
  4. 15
    Functions & Parabolas

Practice Questions

There’s no substitute for elbow grease. Practice your new skills to ensure that you internalize what you’ve studied.

  1. 16
    Problem Sets
  2. 17
    Solutions
  3. 18
    Video Solutions

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