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29 Cards in this Set

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Reasoning that is based on patterns you observe. If you observe a pattern in a sequence, you can use inductive reasoning to tell what the next terms in the sequence will be.
inductive reasoning
A conclusion you reach using inductive reasoning.
conjecture
A particular example or instance of the statement that makes the statement false.
counterexample
Ex. Statement: If the name of a state begins with a W, then that state does not border on an ocean
Countrexample: Washington
Represented by a small dot on a line and is named by a capital letter
Point
Defined as the set of all points.
Space
A series of points that extends in two opposite directions without end.
line
Points that lie on the same line are
collinear points
A flat surface that has no thickness. Contains many lines and extends without end in the directions of all its lines.
plane
Points and lines in the same plane
coplanar
An accepted statment of fact
postulate or axiom
The part of a line consisting of two endpoints and all points between them.
segment
The part of a line consisting of one endpoint and all the points of the line on one side of the endpoint.
ray
Two collinear rays with the same endpoint. They always form a line.
opposite rays
Coplanar lines that do not intersect
parallell lines
Noncoplanar, they are not parallel and do not intersent
skew lines
Two segments with the same length
congruent segments (=)
The point that divides a segment into two congruent segments
midpoint
Formed by two rays with the same endpoint
angle
Angle that is less that 90 degrees
acute angle
Angle that is 90 degrees
right angle
Angle that is less than 180 degrees
obtuse angle
Angle that is 180 degrees
straight angle
Angles with the same measure
congruent angles
A straight edge and a compass to draw a geometric figure.
construction
A geometric tool used to draw circles and parts of circles called arcs.
compass
Two lines that intersect to form rights ancles.
perpendicular lines
A line, segment, or ray that is perpendicular to the segment at its midpoint, therby bisecting the segment into two congruent segments
perpendicular bisector
A ruler with no markings on it.
straight edge
A ray that divides an angle into two congruent coplanar angles.
angle bisector