Look Across, Take it Down

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Across
  1. 4. points that are not contained on the same line
  2. 5. points that lie on the same plane
  3. 6. statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory.
  4. 9. a flat surface that extends in all directions
  5. 11. the set of points that is common to both figures
  6. 12. this is part of a line that has two endpoints
Down
  1. 1. points that lie on the same line
  2. 2. a part of a line but has only one endpoint, and extends endlessly in one direction
  3. 3. an arrangement of points that extends infinitely in opposite directions
  4. 7. the set of all points
  5. 8. a union of two non-collinear rays with common endpoint
  6. 10. is an exact location in space and has no size and can be presented by a dot