https://www.shmoop.com › study-guides › points-lines-angles-planes › undefined-notions.html

We'll make these basic units of geometry—the point, the line, and the plane—and call them undefined notions. Since there was nothing that existed before them, we can't use anything to define them—but that doesn't mean we can't explain them.

https://www.onlinemathlearning.com › geometry-hsg-co1.html

Videos, examples, solutions, and lessons to help High School students know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point,line, distance along a line, and distance around a circular arc.

https://en.wikipedia.org › wiki › Undefined_(mathematics)

In mathematics, the term undefined is often used to refer to an expression which is not assigned an interpretation or a value (such as an indeterminate form, which has the possibility of assuming different values). [1]

https://math.stackexchange.com › questions › 1518640 › the-undefined-terms-in-geometry-i-e...

As I understand it, there are three undefined terms (alternatively they are sometimes called primitive notions) in Geometry: Point: A point has 0 dimensions and merely denotes a location. Line: A line has only 1 dimension (that of length, but no others) and spans infinitely in both directions.

https://tasks.illustrativemathematics.org › content-standards › HSG › CO › A › 1

Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

http://geometrycommoncore.com › content › unit1 › gco1 › gco1.html

Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

http://profajohnson.weebly.com › uploads › 5 › 6 › 1 › 7 › 56173373 › section_1__introduction_to_geometry_points_lines_and_planes.pdf

undefined notions of point, line, distance along a line, and distance around a circular arc. G-CO.3.9 - Prove theorems about lines and angles; use theorems about lines and angles to solve problems. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent

https://quizlet.com › 849807476 › definitions-theorems-postulates-flash-cards

If a triangle is isosceles, then the base angles are congruent. Converse is true. (If two base angles are congruent in a triangle, then the triangle is isosceles.) Study with Quizlet and memorize flashcards containing terms like Undefined Notions, Def: Line Segment, Def: Ray and more.

https://mattsmathlabs.com › GSEhigh1001.html

MGSE9-12.G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

https://www.shmoop.com › study-guides › points-lines-angles-planes › terms.html

Undefined Notions Points, lines, and planes. While we can describe them in great detail, there's a slight problem in defining them in that we can't. Vertical Angles Angles that are opposite each other resulting from two intersecting lines. Vertical angles are always congruent.