Line (geometry)

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/line-geometry

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the dimensionality?A line is one-dimensional, possessing length but no width or thickness
2. What is the defining axiom?A unique line is determined by any two distinct points
3. What is a line in geometry?A line is a perfectly straight path that goes on forever in both directions. It has length but no width or thickness. It is one of the basic building blocks of geometry.
4. How can we describe a line using points?A line is uniquely determined by any two distinct points. If you pick two different points, the line that passes through them is the same everywhere.

Axiom: A statement or proposition regarded as being established, accepted, or self-evidently true.
One-dimensional: Having extent in only one dimension, typically length.
Euclidean Geometry: The system of geometry based on Euclid's postulates, dealing with flat, two-dimensional space.