Geometry Terms From Chapter 2

Front 1

conditional statement

Back 1

a statement that can be written in if-then form

Front 2

conjecture

Back 2

an educated guess based on known information

Front 3

converse

Back 3

the statement formed by exchanging the hypothesis and conclusion of a conditional statement

Front 4

inverse

Back 4

the statement formed by negating both the hypothesis and conclusion of a conditional statement

Front 5

contrapositive

Back 5

the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement

Front 6

law of detachment

Back 6

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

Front 7

law of syllogism

Back 7

If p->q and q->r are true conditionals, then p->r is also true

Front 8

postulate

Back 8

A statement that describes a fundamental relationship between the basic terms of geometry, and are accepted as true without proof.

Front 9

theorem

Back 9

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

Front 10

two-column proof

Back 10

A formal group of statements and reasons organized in two columns. Each step is called a statement, and the properties that justify each step are called reasons.

Front 11

proof

Back 11

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

Front 12

inductive reasoning

Back 12

reasoning that uses a specific number of examples to arrive at a plausible generalization or prediction

Front 13

deductive reasoning

Back 13

A system of reasoning that uses facts, rules, definitions, or properties to reach logical conclusions

Front 14

hypothesis

Back 14

In a conditional statement, the statement that immediately follows the word if.

Front 15

conclusion

Back 15

In a conditional statement, the statement that immediately follows the word then.