Geometry

Study of shapes, sizes, properties of space, and geometric relationships.

Basic Concepts

Points, Lines, and Angles

The Building Blocks of Geometry

Geometry begins with some of the simplest concepts: points, lines, and angles. These are the foundation for understanding all shapes and spaces around us!

Points

A point marks a position in space. It has no size, width, or depth—imagine it as a tiny dot.

Lines

A line is a straight path that extends forever in both directions. Line segments are parts of lines with two endpoints.

Angles

When two lines meet at a point, they form an angle. Angles measure the "turn" between two lines, usually in degrees.

Types of Angles

  • Acute Angle: Less than 90°
  • Right Angle: Exactly 90°
  • Obtuse Angle: More than 90° but less than 180°
  • Straight Angle: Exactly 180°

Why Are These Important?

Every geometric shape is built from points, lines, and angles. Understanding them helps you see the world like a mathematician!

Real-World Connections

Architects use lines and angles to design buildings. Sports fields are marked with lines and angles to make play fair and fun.

Examples

  • A soccer field has right angles at the corners.

  • A triangle is made from three line segments.

In a Nutshell

Points, lines, and angles are the basic elements of all geometry.

Key Terms

Point
A location in space with no size.
Line
A straight path with no thickness that extends forever.
Angle
The figure formed by two lines meeting at a point.