Lesson 1 of 8

The Basics: Points, Lines, and Angles

Geometry starts with the smallest pieces. A point is just a location, no size, drawn as a dot. A line goes straight forever in both directions. A plane is a flat surface that goes forever in every direction, like an endless field.

Segments and rays

  • A segment is a piece of a line with two endpoints, like the yard line between two markers.
  • A ray starts at one point and goes forever in one direction, like a flashlight beam.

Angle types

  • Acute angle: less than 90 degrees (sharp).
  • Right angle: exactly 90 degrees (a perfect corner).
  • Obtuse angle: more than 90 but less than 180 degrees (wide open).
  • Straight angle: exactly 180 degrees (a flat line).

FORMULA

Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees.

Example: if one angle is 30 degrees, its complement is 60 degrees (30 + 60 = 90) and its supplement is 150 degrees (30 + 150 = 180).