CH 1 Geometry
The study of geometry using a coordinate system.
ANALYTIC GEOMETRY
A statement that is accepted as true without proof.
AXIOM OR POSTULATE
Has a set of axioms from which theorems can be derived.
AXIOMATIC SYSTEM
Point C is between A and B if and only if A, B, and C are collinear and AC + CB = AB
BETWEENESS OF POINTS
To separate a line segment into two congruent segments.
BISECT
Points that lie on the same line.
COLLINEAR
Having the same size and shape.
CONGRUENT
Line segments that are the same length.
CONGRUENT SEGMENTS
Points that lie on the same plane.
COPLANAR
A term that has a definition and can be explained.
DEFINED TERM
An explanation that assigns properties to a mathematical object.
DEFINITION
A line segment with an initial endpoint and a terminal endpoint.
DIRECTED LINE SEGMENT
The length of the line segment between two points.
DISTANCE
A point is this if it is the same distance from other points.
EQUIDISTANT
Words, usually readily understood, that are not formally explained by means of more basic words and concepts.
UNDEFINED TERMS
A set of points common to two or more geometric figures.
INTERSECTION
Made up of points and has no thickness or width.
LINE
Measurable part of a line that consists of two points, called endpoints, and all of the points between them.
LINE SEGMENT
The point halfway between the endpoints of the segment.
MIDPOINT
A flat surface made up of points that extends infinitely in all directions.
PLANE
A location that has neither a shape or size.
POINT
Any segment, line, plane, or point that bisects a segment.
SEGMENT BISECTOR
A boundless three-dimensional set of all points. It can contain lines and planes.
SPACE
The study of geometric figures without the use of coordinates.
SYNTHETIC GEOMETRY
A statement or conjecture that can be proven true using undefined terms, definitions, and axioms.
THEOREM