Common Core: High School - Geometry

Explore the principles and applications of geometry, including shapes, theorems, and real-world problem-solving.

Basic Concepts

Foundations of Geometry

What Is Geometry?

Geometry is the branch of mathematics focused on studying shapes, sizes, positions, and properties of space. It helps us understand and describe the world around us, from the smallest molecules to the largest planets!

Key Elements

  • Points: The most basic unit in geometry, representing a position in space.
  • Lines: Straight, endless paths that extend in both directions.
  • Planes: Flat, two-dimensional surfaces spreading infinitely.
  • Angles: Formed when two lines meet at a point (called the vertex).

Building Blocks

These elements are the foundation for creating more complex shapes and solving geometric problems. Understanding these basic concepts is the first step to mastering geometry.

Why It Matters

Geometry is everywhere! Whether you are designing video game graphics, building a house, or simply organizing your room, geometry helps you make sense of space and structure.

Examples

  • A point on a map shows a location, like your favorite pizza place.

  • A straight road can be modeled as a geometric line.

In a Nutshell

Learn the essential building blocks of geometry: points, lines, planes, and angles.

Key Terms

Point
An exact location in space with no size or dimension.
Line
A straight path extending infinitely in both directions.
Plane
A flat surface that extends infinitely in all directions.
Angle
Formed by two rays sharing a common endpoint.