geometry crossword puzzle

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Across
  1. 2. A statement that combines a conditional and its converse, expressed as "If and only if" (p if and only if q).
  2. 4. lines: Two lines that intersect at a right angle (90 degrees).
  3. 5. A line that crosses at least two other lines, which can be parallel or intersecting.
  4. 6. A statement formed by reversing the hypothesis and conclusion of a conditional statement (If qqq, then ppp).
  5. 7. pairs: Various relationships between pairs of angles (e.g., complementary, supplementary, vertical) based on their position relative to each other or to intersecting lines.
  6. 8. statement: A statement of the form "If ppp, then qqq", where ppp is a hypothesis and qqq is a conclusion.
  7. 9. The opposite of a statement, typically indicated by "not" (e.g., the negation of ppp is "not ppp").
  8. 10. exterior angles: Angles that lie outside two parallel lines and are on opposite sides of a transversal.
  9. 12. lines: Lines in the same plane that never intersect, no matter how far they are extended.
  10. 13. pair: A pair of adjacent angles whose non-shared sides form a straight line, summing to 180 degrees.
  11. 16. The part of a conditional statement that follows the "then" (the result of the hypothesis).
  12. 17. A statement or proposition that can be proven based on previously established statements and axioms.
  13. 19. angles: Angles that are opposite each other when two lines intersect, which are always equal.
  14. 21. A property indicating that a geometric figure or object is congruent to itself (e.g., a=aa = aa=a).
Down
  1. 1. A measure of the steepness of a line, calculated as the rise (vertical change) over the run (horizontal change).
  2. 3. angles: Angles that are in the same position on two parallel lines cut by a transversal.
  3. 6. exterior angles: Angles that lie outside two parallel lines on the same side of a transversal, which are also supplementary.
  4. 8. interior angles: Angles that lie between two parallel lines on the same side of a transversal, which are supplementary.
  5. 10. interior angles: Angles that lie between two parallel lines on opposite sides of a transversal.
  6. 11. Two angles whose measures add up to 180 degrees.
  7. 14. A property where if one figure is congruent to another, then the second is congruent to the first.
  8. 15. Figures (angles, lines, shapes) that have the same size and shape.
  9. 16. A statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.
  10. 18. A property indicating that if one object is related to a second and the second is related to a third, then the first is related to the third.
  11. 20. lines: Lines that do not intersect and are not parallel, existing in different planes.