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Geometry Definitions – Unit 1 1. Point (undefined) – has location only. No length, no width, no depth. Named using a capital letter or a coordinate pair. 2. Line (undefined) – Lines extend indefinitely and have no thickness or width. Named using a single lowercase letter or by any two points on the line. 3. Plane (undefined) – A flat surface that extends in all directions containing at least 3 [non-collinear] points. Named using a single lowercase letter or by 3 [non-collinear] points. 4. 5. 6. 7. 8. 9. collinear points – points that lie on the same line. coplanar points – points that lie in the same plane. coplanar lines – lines that lie in the same plane. non-collinear points – points that do NOT lie on the same line. non-coplanar points – points that do NOT lie in the same plane. non-coplanar lines – lines that do NOT lie in the same plane. 10. segment (line segment) – part of a line that consists of two endpoints and all points between them. Segments are named by their endpoints. 11. Parallel lines – lines in the same plane that do not intersect. 12. Parallel planes – Planes that do not intersect. 13. Skew lines – lines that do not intersect and are not in the same plane. 14. Congruent – having the same size and shape. 15. Congruent segments – segments that have the same length. 16. Midpoint – a point M is the midpoint of segment PQ if M is between P and Q, and PM = MQ. 17. Segment bisector – a segment, line, or plane that intersects a segment at its midpoint. 18. Ray – a part of a line that has an endpoint and contains all the points of the line without end in one direction. (A one-directional line.) 19. Angle – a figure consisting of two non-collinear rays with a common endpoint. [Show “vertex” on the drawing.] 20. Congruent angles – angles that have the same measure. 21. Right angle – an angle whose measure is 90 degrees. 22. Perpendicular lines – two lines that intersect to form a right angle. 23. Acute angle – an angle whose measure is between 0 and 90 degrees. 24. Obtuse angle – an angle whose measure is between 90 and 180 degrees. 25. Straight angle – an angle whose measure is 180 degrees. 26. Angle bisector – a ray that separates an angle into two equal angles. 27. Vertical angles – Two non-adjacent angles formed by two intersecting lines. 28. Complementary angles – 2 angles whose measures have a sum of 90 degrees. 29. Supplementary angles – 2 angles whose measures have a sum of 180 degrees. 30. Linear pair – 2 angles that are adjacent and supplementary.