Inductive Reasoning
Reasoning that is based on patterns that you observe.
Conjecture
A conclusion you reach using inductive reasoning.
Counterexample
An example for which the conjecture is incorrect.
Point
A location in space with no size.
Line
Collinear points that extends in each direction forever.
Collinear
Points and lines that lie in the same plane.
Plane
A flat surface that has no thickness.
Coplanar
Points and lines that lie in the same plane.
Postulate
A statement of fact.
Opposite Rays
Two collinear rays with the same endpoint but with opposite direction.
Parallel Lines
Coplanar lines that do not intersect.
Skew Lines
Noncoplanar lines that do not intersect and are not parallel.
Parallel Planes
Planes that do not intersect.
Congruent Segments
Two segments with the same length.
Segment Addition Postulate
AB + BC = AC
Midpoint
A point that divides a segment into two congruent segments.
Angle
A shape formed by two lines or rays diverging from the same endpoint.
Acute Angle
An angle that has a measure between 0° and 90°.
Right Angle
An angle that has a measure of 90°.
Obtuse Angle
An angle that has a measure between 90° and 180°.
Straight Angle
An angle that has a measure of 180°.
Angle Addition Postulate
<AOB + <BOC = <AOC
Congruent Angles
Angles with the same measure.
Perpendicular Line
Two lines that intersect to form right angles.
Perpendicular Bisector
A perpendicular line, segment, or ray that is perpendicular to the segment at its midpoint, thereby dividing the segment into two congruent segments.
Angle Bisector
A ray that divides an angle into two congruent coplanar angles.
Distance Formula
Segment
A part of a line consisting of two endpoints and all points between them.
Ray
Part of a line with one endpoint and all of the points to one side forever.
Intersection of Figures
The set of points that are common in both figures.
Midpoint Formula
Area of a Circle
Circumference of a Circle