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Concurrent Lines
Three or more lines are concurrent, if and only if, they are coplanar, and intersect in a single point.
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Parallel Lines
Two lines are parallel, if and only if they are coplanar, and do not intersect.
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Skew Lines
Two lines are skew, if and only if they are noncoplanar, and do not intersect.
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Perpendicular Lines
Two lines are perpendicular, if and only if, they intersect to form a right angle.
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Opposite Rays
Two rays, BA and BC are considered opposite rays, if and only if, B is between A and C.
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Betweenness of Rays
For three coplanar rays, AB, AC, and AD, with coordinates, b, c, and d respectively, AC is between AB, if and only if, either b < c < d, or d < c < b.
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Half-Line
A set of points is a half-line if and only if, it is one of the two sets of points on either side of a specific point, called the separation point, on a line.
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Ray
The set of points, designated AB is a ray, if and only if, it is the union of the separation point A, called the endpoint, and the set of points contained in the half-line, which includes the point B.
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Opposite Rays
Two rays, BA and BC are considered opposite rays, if and only if, B is between A and C.
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Betweenness of Rays
For three coplanar rays, AB, AC, and AD, with coordinates b, c, and d respectively, AC is between AB, if and only if, either b < c < d, or d < c < b.
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Line Segment
A set of points is a line segment, if and only if, it is the union of two points on a line, and the set of all the points between them.
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Length of a Line Segment
A given real number is the length of a line segment, if and only if, that real number represents the distance between the endpoints of the line segment.
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Equal Line Segments
Two line segments are considered equal, if and only if, the real numbers representing their lengths are equal.
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Midpoint of a Line Segment
A point on a line segment is the midpoints of the segment, if and only if, the point is between the endpoints, and divides the given segment into two congruent segments.
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Bisector of a Line Segment
Any point, line segment, ray, line, or plane, is called a bisector of a line segment, if and only if, it intersects the line segment in the midpoint of the line segment.
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