GRE Quantitative

A comprehensive course on the GRE Quantitative section, covering essential math concepts, advanced problem-solving, real-world applications, and effective test strategies.

Advanced Topics

Advanced Geometry

Navigating Complex Shapes and Their Properties

Geometry on the GRE tests your understanding of shapes, sizes, and the relationships between different figures.

What You'll Encounter

  • Properties of triangles, quadrilaterals, and circles
  • Perimeter, area, and volume calculations
  • Angles, similarity, and congruence

Real-World Context

Geometry is used in architecture, interior design, and even sports field planning!

Tips for Success

  • Memorize key formulas (area, perimeter, volume)
  • Draw diagrams for visualization
  • Watch out for hidden right triangles or symmetry

Formula

The area of a circle: \( A = \pi r^2 \)

Key Formula

\[A = \pi r^2\]

Examples

  • Find the area of a triangle with base 10 and height 6.

  • Calculate the volume of a cylinder with radius 3 and height 7.

In a Nutshell

Advanced geometry explores properties and calculations involving complex shapes.

Key Terms

Congruent
Figures that are the same shape and size.
Similarity
Figures that have the same shape but not necessarily the same size.