Geometry

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

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.

• 11
  Strategy 101
• 12
  The “180° – x” Trick
• 13
  Picking Numbers

Practice Questions

• 14
  Problem Sets
• 15
  Solutions
• 16
  Video Solutions

Fundamental Concepts

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

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

• 10
  Similar Triangles
• 11
  Acute & Obtuse Triangles
• 12
  Crazy Pythagorean Triangles
• 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.

• 14
  Problem Sets
• 15
  Solutions
• 16
  Video Solutions

Fundamental Concepts

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

• 1
  Quadrilaterals
• 2
  Parallelograms
• 3
  Rectangles & Squares
• 4
  Trapezoids
• 5
  Unusual Shapes
• 6
  Shaded Areas
• 7
  Rectangular Solids & Cubes
• 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!

• 9
  The Volume Trap Rhombuses
• 10
  Maximizing Volume
• 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.

• 12
  Problem Sets
• 13
  Solutions
• 14
  Video Solutions

Fundamental Concepts

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

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

• 8
  Don’t Forget the Center
• 9
  Label Every Radius
• 10
  Problems Without Values x Asswholes
• 11
  Unusual Shapes
• 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.

• 13
  Problem Sets
• 14
  Solutions
• 15
  Video Solutions

Fundamental Concepts

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

Rare or Advanced Concepts

• 12
  Graphing Inequalities
• 13
  Reflections
• 14
  Graphing Circles
• 15
  Functions & Parabolas

Practice Questions

• 16
  Problem Sets
• 17
  Solutions
• 18
  Video Solutions