Basics of Mathematical Proof of Geometry Flashcards

Using patterns to make a conjecture (a statement that is not proven to be true).

A statement that is made based on observations. It is also a statement that is unproven.

Uses known words to describe a new word.

An agreed upon definition for words that are not formally defined. In geometry there are three: point, line and plane.

A place in space. It does not have any length, width, height, or depth, but is represented by a dot. It is named using a capital letter.

A 'string' of places in space. It is a geometric figure that extends forever in two directions. On paper, it is represented by a straight line with two arrowheads to show that it does not end. It is named using two points or with one, lowercase, cursive letter.

U A flat surface. It is a geometric figure that extends in all directions. On paper, it is represented by a shape that looks like a tabletop or wall. It is named using three points or with one, capital, cursive letter.

Points that lie on the same line

Points that lie on the same plane.

This is a portion of a line. It has two endpoints and does not extend forever in two directions.

The stopping points of a line segment.

A portion of a line that has one endpoint and continues forever in only one direction. The starting point in called the initial point.

The starting point of a ray.

This occurs when two of these geometric figures are situation in a way that makes it look like a line. They share the same initial point and extend forever in two directions.

Rules that are accepted without proof, can also be called an axiom.