Unit A Flashcards
Space
Set of all points
Point
It is a location that doesn’t have a size. It’s represented by a small dot and it is named by a capital letter.
Line
It is a series of points that extends in two opposite directions without an end. It is named by any two points on a line or with a single lowercase letter.
Collinear Points
Points that lie on the same line
Plane
It is a flat surface that has no thickness. It contains many lines and extends without end in the direction of all its lines. It is named by at least 3 non - collinear points or a single capital letter.
Coplanar
Points and lines in the same plane
Postulate/Axiom
Accepted statement or fact
Segment
It is a part of a line consisting of 2 endpoints and all points in between them.
Ray
Part of a line consisting of 1 endpoint and all the points of the line on one side of the endpoint.
Opposite Rays
Two collinear rays with the same endpoint. Opposite rays always form a line.
Parallel Lines
Coplanar lines that do not intersect.
Skew Lines
Non-coplanar lines that are not parallel and they do not intersect.
Parallel Planes
Planes that do not intersect
Congruent Segments
Two segments with the same length
Midpoint
- a point that divides a segment into 2 segments.
Angle
Formed by 2 rays with the same endpoint
Congruent Angles
Angles with the same measure
Postulate 1-1
Through any 2 points there is exactly 1 line
Postulate 1-2
If 2 lines intersect, then they intersect in exactly 1 point
Postulate 1-3
If 2 planes intersect, then they intersect in exactly 1 line
Postulate 1-4
Through any 3 collinear points there is exactly 1 plane
Ruler Postulate
The points of a line can be put into 1-1 correspondence with the real numbers so that the distance between any 2 points is the absolute value of the difference of the corresponding numbers.
Segment Addition Postulate
If 3 points A, B, and C are collinear and B is between A and C, then
AB + BC = AC.
Bisect
A line, ray, or other segment through a midpoint.