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Geometry Fundamentals Explained

Learn about segments, rays, angles, and postulates in geometry. Understand concepts like distance, midpoint, congruence, and more.

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Geometry Fundamentals Explained

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  1. Segment: The set of points consisting of two points called endpoints and all the points between these points

  2. Sides of an angle • The rays of an angle

  3. Vertex • The common endpoint of the sides of an angle

  4. Distance: The absolute value of the difference of the coordinates for any two points on a number line

  5. Ray: that A ray, is the part of that contains point A and all points on the same side of A as B

  6. Opposite Rays • Rays that have the same endpoint and that together make a line.

  7. Postulate (or axiom): A statement that is accepted as true without proof

  8. Congruent: Figures that have the same size and shape

  9. Congruent segments: Segments that have the same length

  10. Midpoint of a segment: The point that divides the segment into two congruent segments

  11. Bisector of a segment: A line, segment, ray, of plane that intersects the segment at its midpoint

  12. 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.

  13. Postulate 2: Segment Addition Postulate If B is between A and C, then AB+BC=AC

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