Geometric Foundations: Points, Lines, and Planes

Flashcards covering the fundamental vocabulary of geometry including definitions, naming conventions, and properties of points, lines, and planes based on the lecture notes.

Point

A location that has no size or shape; always named using a CAPITAL LETTER, such as point $A$.

Line

Made up of points; any $2$ points form a line. It has no thickness or width and is named by any two points on the line (e.g., $XY$) or a lowercase script letter (e.g., line $n$).

Collinear Points

Points that lie on the same line.

Non-collinear Points

Points that do NOT lie on the same line; there must be at least $3$ points involved.

Plane

A flat surface made up of points that extends indefinitely in all directions; any $3$ points make up a plane. It is named by any three non-collinear points (e.g., plane $KJL$) or an uppercase script letter (e.g., plane $P$).

Coplanar Points

Points that lie on the same plane.

Non-coplanar Points

Points that do NOT lie on the same plane; there must be at least $4$ points involved.

Intersection of Two Lines

The specific location where two lines meet, which is always a point.

Intersection of Two Planes

The shared set of points where two planes meet, which is always a line.