Chapter 2 Flashcards
Midpoint
The point that divides the segment into two congruent segments.
Point
A dot that represents a location in space
Line
A straight, continuous arrangement of infinitely many points extending infinitely in both directions (infinite length buy no thickness).
Plane
A flat surface that extends infinitely in all directions (infinite length and width but no thickness).
Line Segment
Consists of endpoints A and B and all points on the line that lie between A and B.
Ray
Consists of the initial point A and all point on the line AB that lie on the same side of A as B lies.
Opposite rays
Two rays on the same line that share an initial point and extend in opposite directions.
Collinear
Points, segments, or rays that lie on the same line.
Noncollinear
Points, segments, or rays that do not lie on the same line.
Length of a line segment
Distance between the two endpoints.
Angle
Two different rays with the same initial point.
Sides of an Angle
The rays.
Vertex of an angle
The shared initial point.
Interior of an angle
All points that lie in between the sides of an angle.
Exterior of an angle
All the points that do not lie on sides of an angle or its interior.
Adjacent Angles
Two angles in a plane that have a common vertex and ray but do not have common interior points.
Segment Addition Postulate
If B is between A and C, then AB + BC = AC.
Angle Addition Postulate
If B is in the interior of ∠AOC, then m∠AOB + m∠BOC = m∠AOC.
Congruent Segments
Two segments are congruent if they have the same length.
Congruent Angles
Two angles are congruent if they have the same measure.
Segment Bisector
A segment bisector is a segment, ray, line or plane that intersects a segment at its midpoint.
Angle Bisector
An angle bisector is a ray that divides the angle into two congruent angles.
Perpendicular Lines
Two lines are perpendicular if they intersect to form a right angle.
Perpendicular Line and Plane
A line is perpendicular to a plane if it is perpendicular to each line in the plane that intersects it.
Vertical Angles
Two angles are vertical if their sides for two pairs of opposite rays
Linear Pair
Two adjacent angles are linear pairs no common sides are opposite rays
Linear Pair Postulate
If two angles form a linear pair, then they are supplementary
Vertical Angles Theorem
If two angles are vertical angles, then they are congruent.
