Inductive Reasoning

a type of reasoning that allows you to reach conclusions based on a pattern of specific examples of past events

Conjecture

a conclusion reached by

using inductive reasoning

Vertical Angles

have the same measure

Supplementary Angles

2 angles whose sum equals 180°

(straight line)

Complementary Angles

2 angles whose sum equals 90°

(usually corner)

 Parallel Lines

coplanar lines that never intersect

Skew Lines

non-coplanar lines

Perpendicular Lines

lines intersect to form a right angle

Space

the set of all points

Line

 A series of points that extend in all directions in two opposite directions without end

Collinear

points that lie on the same line

Plane

a flat surface that extends in all directions without end

Coplanar

Points and lines in the same plane

Postulate

an accepted statement of fact

Postulate 1-1

Through any two points there is exactly one line

Postulate 1-2

If any two lines intercect, then they intersect in exactly one point

Postulate 1-3

If two planes intercect, then they intersect in a line

Postulate 1-4

through any three noncollinear points there is exactly one plane

Segment

the part of a line consisting of two endpoints and all points inbetween them

Ray

The part of a line consisting of one 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