Geometry Review for Chapter 1

Review of the Geometry facts learned in Chapter 1

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Across 2. planes in space that do not intersect 5. don't rely on other postulates 9. lines that are not coplanar 11. model based on 5 incidence postulates 12. using words previously defined or commonly accepted as undefined 13. sets with one-to-one correspondence 15. repeat the pattern established by the last 3 elements 17. are the foundation to our system of geometry 18. straight; extends infinitely in one direction; length, no width or thickness 20. coplanar lines that do not intersect 21. spot; no dimension; a location in space 22. any 2 points in space lie in exactly one line 25. if 2 points lie in a plane, then the line containing these 2 points lies in the same plane 27. lines that intersect at a single point 29. How many points are required for something to be noncollinear 30. doesn't rely on anything but postulates 31. 3 distinct noncollinear points lie in exactly one plane 34. points that lie on the same line 35. neutral; avoids limitations of time or place 37. process of justifying a theorem 38. lines that lie in the same plane 40. good grammar, good sentence, only necessary words 41. sets with the exact same elements 42. all elements in the universal set not in the given set

Down 1. if 2 planes intersect, then their intersection is exactly one line 2. flat, extends infinitely in two dimensions 3. interrelation or sequence of facts or events when seen as inevitable or predictable 3. something that forces a decision apart from or in opposition to reason 4. points that lie in the same plane 6. when two sets have nothing in common 7. denoted by "U" 8. operations on a single set 10. a line contains 2 points; a plane contains 3 noncollinear points; space contains 4 noncoplanar points 11. objects of the set 14. refers to processes that require two sets 16. a group or collection of objects denoted by braces and labeled with a capital letter 19. points that do not lie on the same plane 23. a system of definitions, postulates, and theorems that is built in a logical progression 24. a visual representation of sets 26. a statement that can be shown to be true by a logical progression of previous terms and statements 27. don't contradict one another 28. what makes a good geometry 31. assumed to be true 32. another name for a postulate 33. accurate and reversible 36. to the point; no ambiguous or vague language 39. set that contains no elements

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