Across
- 5. a plane contains at least ___ noncollinear points
- 6. law of ___ states that if the conditional statement is true and the given statement satisfies the hypothesis, then you can write a valid conclusion
- 7. an example that contradicts a conjecture
- 9. vertical angles theorem states that if two angles are vertical angles, then they are ___
- 11. ___ lines form congruent adjacent angles
- 13. a statement that follows the word "if" in a conditional statement; the "cause" of a conditional statement
- 15. a statement that switches the hypothesis and conclusion of the conditional statement
- 18. if two line intersect, then their ___ is exactly one point
- 19. congruent ___ theorem states that if two angles are supplementary to the same angle, then they are congruent
- 21. property that states "if a = b, then b = a"
- 22. all ___ angles are congruent
- 23. law of ___ states that if the first conclusion matches the second hypothesis of two true conditional statements, then a valid conclusion is if the first hypothesis then the second conclusion
- 25. ___ addition postulate states that if D is in the interior of angle ABC, then m∠ABD + m∠DBC = m∠ABC
- 27. a logical argument in which each statement is supported by a reason
- 28. a compound statement that consists a hypothesis and a conclusion
- 30. perpendicular lines intersect to form ___ right angles
- 32. if two points lie in a plane, then the entire ___ containing those points lies in that plane
- 33. if two congruent angles form a ___ pair, then they are right angles
Down
- 1. if two ___ intersect, then their intersection is a line
- 2. a conjecture that has been proven true
- 3. If M is the ___ of segment AB, then AM ≅ MB
- 4. keyword to combine two statements creating a conjunction and is true when both statements are true
- 5. property that states "if a = b and b = c, then a = c"
- 8. a type of reasoning that reaches a conclusion based on a pattern of examples
- 10. keyword to combine two statements creating a disjunction and is true when only one of the statements is true
- 12. through any two points, there is ___ one line
- 14. a type of reasoning where the process of reaching a specific valid conclusion is based on general facts, rules, definitions, or properties
- 16. a statement that follows the word "then" in a conditional statement; the "effect" of a conditional statement
- 17. a line contains at ___ two points
- 20. if ___ congruent angles are congruent and supplementary, then each angle is a right angle
- 24. congruent ___ theorem states that if two angles are complementary to the same angle, then they are congruent
- 25. segment ___ postulate says that if A, B, and C are collinear, then point B is between A and C if and only if AB + BC = AC
- 26. an educated guess based on known information and specific examples
- 29. through any three ___ points, there is exactly one plane
- 31. property that states that anything will equal to itself