Geometry: Chapter 1 Flashcards
(28 cards)
Conjecture
A conclusion you reach using inductive reasoning
Inductive reasoning
Reasoning that is based on patterns you observe
Counterexample
A particular example or instance that makes a statement false
Point
A location; has no size; represented by a small dot and is named by a capital letter.
Space
The set of all points
Line
A series of points that extends in two opposite directions without end
Collinear points
Points that lie on the same line
Plane
A flat surface that has no thickness. Contains many lines and extends without end in the direction of all its lines
Coplanar
Points and line in the same plane
Postulate or axiom
Accepted statement of fact
Segment
The part is a line consisting of two end points and all points between them
Ray
A set of points with one endpoint and extends infinitely in the other direction
Opposite rays
Two collinear rays with the same endpoint
Parallel lines
Coplanar lines that never intersect
Skew lines
Noncoplanar lines that never intersect
Parallel planes
Planes that do not intersect
Midpoint
A point that divides a segment into two congruent segments
Angle
Two rays with a common endpoint
Congruent segments
Two segments with the same length
Acute angle
0 < x < 90
Right angle
x = 90
Obtuse angle
90 < x < 180
Straight angle
x = 180
Congruent angles
Angles with the same measure