# Geometry Chapter Two Vocabulary

## 12 terms · Vocab from chapter two. Honors Geometry 4th Block Shugary

### conjecture

a statement based on observation

### inductive reasoning

making conjectures form patterns or sequences

### counterexample

an example that proves a statement false

### conditional statement

an "if-then" statement where the phrase after the word if is the hypothesis and the phrase after the word then is the conclusion

### negation

the complete opposite of a statement

### converse

formed by switching hypothesis and conclusion of the original conditional statemnet

### inverse

formed by negating the hypothesis and conclusion of the original conditional statement

### contrapositive

formed by switching and negating the hypothesis and the conclusion of the conditional statement

### biconditional statement

formed by a true conditional and true converse. The phrase if and only if (iff) joins the hyp. and the conc.

### deductive reasoning

a system of reasoning that uses facts to reach conclusions

### Law of Detachment

If p ---> q is a true conditional and p is true, then q is also true

### Law of Syllogism

If p ---> q and q--->r re true conditionals then p--->r is true