Geometry Chapter 2 Vocab (Autosaved)

Question 1

Conjecture

Answer 1

educated guess

Question 2

Counterexample

Answer 2

shows a statement is not always true

Question 3

inductive reasoning

Answer 3

using detailed facts to make a prediction

Question 4

Statement

Answer 4

sentence that is either true or false, but not both

Question 5

Truth Value

Answer 5

Truth or falsity of a statement

Question 6

Negation

Answer 6

~ p

Question 7

Conjunction

Answer 7

p ? q

Question 8

Disjunction

Answer 8

p ? q

Question 9

Conditional Statement

Answer 9

p ? q

Question 10

Hypothesis

Answer 10

Immediately follows the word if.

Question 11

Conclusion

Answer 11

Immediately follows the word then.

Question 12

Conditional

Answer 12

The hypothesis and the conclusion.

Question 13

Converse

Answer 13

q ? q

Question 14

Inverse

Answer 14

~p ? ~q

Question 15

Contrapositive

Answer 15

~q ? ~p

Question 16

Paragraph Proof

Answer 16

An informal proof written in the form of a paragraph that explains why a conjecture for a given situation is true.

Question 17

Postulate

Answer 17

Describes relationship between basic terms of geometry. True without proof.

Question 18

Theorem

Answer 18

A statement or conjecture that can be proven true by undefined terms, definitions, and postulates.

Question 19

Proof

Answer 19

A logical argument in which each statement you make is supported by a statemnt that is accepted as true.

Question 20

Two column proof

Answer 20

A formal proof that contains statemtns and reasons organized in two columns. Each step is called a statement, and the properties that justify each step are called reasons.

Question 21

Flow proof

Answer 21

A proof that organizes statements in logical order which are written in a box with verification written under it and arrows indicating the order.