Math Arguments

Q12 - Undefined Terms in Geometry

“In geometry, we begin with undefined terms.”


Here’s what’s odd, though: every Geometry textbook always draws points, lines, and planes in exactly the same familiar and obvious way – as if we CAN define them, at least visually.

To the best of your understanding, define “undefined term” and explain why it doesn’t mean that points and lines have to be drawn the way we draw them; nor does it mean, on the other hand, that math chaos will ensue if there are no definitions or familiar images for the basic elements.