undefined terms
Words, usually readily understood, that are not formally explained by means of more basic words and concepts.
postulate/axiom
a statement that is accepted as true without proof
Theorem
a statement or conjecture that can be proven true by undefined terms, definitions, and axioms
Synthetic Geometry
the study of geometric figures without the use of coordinates
Analytic Geometry
The study of geometry using a coordinate system.
point
A location with no size or shape
Line
made up of points and has no thickness or width. There is exactly one line through any two points
plane
A flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points not on the same line.
Space
a boundless three-dimensional set of all points. Can countain lines and planes.
intersection
The set of points two or more geometric figures have in common.
Line Segment
a measurable part of a line that consists of two points, called endpoints, and all of the points between them. The two endpoints are used to name the segments
Betweeness of points
There is a real number between a and b.
congruent
Having the same measure.
congruent segment
segments that have the same length
Distance
the length of the segment between the points.
Directed line segment
has an initial endpoint and a terminal endpoint
Fractional distance
A calculable coordinate that is a fraction of the length of the segment
Midpoint
A point that divides a segment into two congruent segments
equidistance
a point that has an equal distance to other points around it
Bisect
When the segments is has a middle point in it that point is called a
Segment Bisector
Any segment, line, plane, or point that bisects a segment