Foundations of Geometry Vocab

2. An example that shows a statement or conjecture is false.
5. Obtained by negating the hypothesis and conclusion of a conditional.
9. A process of reasoning using given and previously known facts to reach a logical conclusion.
10. A table that lists all possible combinations of truth values for two or more statements.
13. A flat surface that extends without end; no thickness.
15. A point that divides a segment into two congruent segments.
17. A geometric figure made with only a straightedge and compass.
18. Is "true" (T) or "false" (F) according to whether the statement is true of false.
21. A type of reasoning that reaches conclusions based on a pattern of specific examples or past events.
23. A combination of conditional statement p->q and its converse q->p.

1. Points that lie on the same line.
3. A law of logic that states that given two true conditionals, with the conclusion of the first being the hypothesis of the second, there exists a third true conditional having the hypothesis of the first and the conclusion of the second.
4. A line, segment, or ray that divides a segment into two congruent segments, at a 90* angle.
6. Obtained by negating and reversing the hypothesis and conclusion.
7. An if-then statement that relates a hypothesis to a conclusion.
8. A law of logic that states if a conditional statement and its hypothesis are true, then its conclusion is also true.
11. The part of a conditional that follows "if."
12. An accepted statement of fact.
14. An unproven statement or rule that is based on inductive reasoning.
16. A straight path that extends in two opposite directions without end; no thickness.
19. A location in space; represented with a dot.
20. Reverses the hypothesis and conclusion of a conditional.
22. A ray that divides an angle into two congruent angles