Pearson Geometry Chapter 2 Vocabulary

Front 1

Inductive reasoning

Back 1

Is the process of proving a statement through observation. (seeing)

Front 2

Conjecture

Back 2

A statement you believe to be true based on inductive reasoning.

Front 3

Counter example

Back 3

To show that a conjecture is false.

Front 4

Conditional statement

Back 4

A statement that can be written as p -> q.

Front 5

Hypothesis

Back 5

the part (p) of a conditional statement following the word (if).

Front 6

Conclusion

Back 6

The part (q) of a conditional statement followed by the word (then).

Front 7

Truth value

Back 7

whether or not a conditional statement is true or false.

Front 8

Negation

Back 8

The statement is not, (not p),

or ~p.

Front 9

Converse

Back 9

Original: If P then Q
changed: If Q then P

Front 10

Inverse

Back 10

Original: If P then Q
Changed: If ~P then ~ Q

Front 11

Countrapositive

Back 11

Original: If P then Q
Changed: If ~Q then ~P

Front 12

Deductive reasoning

Back 12

The process of using logic to draw conclusions from given facts, definitions, and properties.

Front 13

Biconditional statement

Back 13

P if and only if Q

Front 14

Proof

Back 14

Used to prove a statement

Front 15

Addition Property of Equality

Back 15

If a=b, then a+c=b+c

Front 16

Subtraction Property of Equality

Back 16

If a=b, then a - c = b - c

Front 17

Multiplication Property of Equality

Back 17

If a=b, Then ac=bc

Front 18

Divition Property of Equality

Back 18

If a=b & c≠o, then a/c = b/c

Front 19

Reflexive Property of Equality

Back 19

a = a

Front 20

Symmetric Property of Equality

Back 20

If a = b, then b = a

Front 21

Transitive Property of Equality

Back 21

If a = b & b = c, then a = c

Front 22

Substitution Property of Equality

Back 22

If a = b, then b can be substituted by a in any expression.

Front 23

Theorem

Back 23

Any statement that you can prove.