crossword geometry

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Across
  1. 3. A statement that has been proven based on previously established statements, such as postulates, axioms, and other theorems.
  2. 4. Interior Angles: Angles that lie on the same side of the transversal and between the two lines. If the lines are parallel, these angles are supplementary (add up to 180 degrees).
  3. 6. Lines: Lines that intersect at a right angle (90 degrees).
  4. 9. Lines: Lines in a plane that never meet or intersect, no matter how far they are extended. They have the same slope.
  5. 15. A statement accepted as true without proof; a basic assumption in geometry.
  6. 18. Angles: Angles that are in the same position at each intersection where a straight line crosses two others. If the lines are parallel, corresponding angles are equal.
  7. 19. The statement formed by negating both the hypothesis and conclusion of a conditional statement. For "if P, then Q," the inverse is "if not P, then not Q."
  8. 21. Interior Angles: Angles that lie between two lines on opposite sides of a transversal. If the lines are parallel, these angles are equal.
  9. 22. A measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).
  10. 23. A statement or hypothesis that is believed to be true but has not been proven.
  11. 24. Terms:
  12. 25. Property: A property stating that any quantity is equal to itself (a = a).
  13. 26. Lines: Lines that do not intersect and are not parallel. They exist in three-dimensional space.
Down
  1. 1. Property: A property stating that if a = b, then b = a.
  2. 2. Statement: A statement of the form "if P, then Q," where P is the hypothesis and Q is the conclusion.
  3. 5. Angles: Angles that are opposite each other when two lines intersect. Vertical angles are always equal.
  4. 7. Pair: A pair of adjacent angles formed when two lines intersect. The angles in a linear pair are supplementary.
  5. 8. Angles: Angles that have the same measure.
  6. 10. Exterior Angles: Angles that lie outside two lines on opposite sides of a transversal. If the lines are parallel, these angles are equal.
  7. 11. The statement formed by negating and reversing the hypothesis and conclusion of a conditional statement. For "if P, then Q," the contrapositive is "if not Q, then not P."
  8. 12. The statement formed by reversing the hypothesis and conclusion of a conditional statement. For "if P, then Q," the converse is "if Q, then P."
  9. 13. Exterior Angles: Angles that lie on the same side of the transversal and outside the two lines. If the lines are parallel, these angles are supplementary.
  10. 14. Planes: Planes that never intersect and are always the same distance apart.
  11. 16. A line that intersects two or more lines at different points.
  12. 17. Angles: Two angles that add up to 180 degrees.
  13. 20. Property: A property stating that if a = b and b = c, then a = c.