Math Crossword Puzzle

12345678910
Across
  1. 1. What is a structure formed from one or more sets of undefined objects, various concepts which may or may not be defined, and a set of axioms relating these objects and concepts?
  2. 3. What denotes a position in space and has no dimension, represented by a fine dot?
  3. 5. What is a theorem that is usually considered an easy consequence of another theorem?
  4. 7. What is a flat surface that has no thickness and extends infinitely in every direction?
  5. 9. What is a line or segment that intersects two or more coplanar lines at distinct points?
Down
  1. 2. The Father of Geometry
  2. 4. What is a statement proven based on axioms, other theorems, and some of logical connectives?
  3. 6. What is generally used to describe an auxiliary fact that is used in the proof of a more significant result or less significant theorem?
  4. 8. What is a geometric line that is infinitely long, extends in both directions without end, and has no thickness or width?
  5. 10. What is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments?