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Segment:. The set of points consisting of two points called endpoints and all the points between these points. Sides of an angle. The rays of an angle. Vertex. The common endpoint of the sides of an angle. Distance:.
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Segment: The set of points consisting of two points called endpoints and all the points between these points
Sides of an angle • The rays of an angle
Vertex • The common endpoint of the sides of an angle
Distance: The absolute value of the difference of the coordinates for any two points on a number line
Ray: that A ray, is the part of that contains point A and all points on the same side of A as B
Opposite Rays • Rays that have the same endpoint and that together make a line.
Postulate (or axiom): A statement that is accepted as true without proof
Congruent: Figures that have the same size and shape
Congruent segments: Segments that have the same length
Midpoint of a segment: The point that divides the segment into two congruent segments
Bisector of a segment: A line, segment, ray, of plane that intersects the segment at its midpoint
Postulate 1 • Ruler Postulate • 1. The points on a line can be paired with the real numbers in such a way that any two points can have coordinates 0 and 1. • 2. Once a coordinate system has been chosen in this way, the distance between any two points equals the absolute value of the difference of their coordinates.
Postulate 2: Segment Addition Postulate If B is between A and C, then AB+BC=AC