Geometry Chapter 2

Front 1

Conjecture

Back 1

An educated guess

Front 2

Inductive Reasoning

Back 2

Looking at several specific situations to arrive at a conjecture

Front 3

Counterexample

Back 3

A false example to show that a conjecture is not true

Front 4

Conditional

Back 4

Statement that can be written in "if-then" form

Front 5

Hypothesis

Back 5

The part of the conditional statement following the if

Front 6

Conclusion

Back 6

The part of the conditional statement following the then

Front 7

Converse

Back 7

Another if-then statement formed by exchanging the hypothesis and conclusion of a conditional
q -> p

Front 8

Negation

Back 8

The denial of a statement
~p

Front 9

Inverse

Back 9

A new conditional statement formed by negating both the hypothesis and conclusion
~p -> ~q

Front 10

Contrapositive

Back 10

Conditional statement formed by negating the hypothesis and conclusion of the converse of the given conditional
~q -> ~p

Front 11

Postulate 2-1

Back 11

Through any two points, there is exactly one line.

Front 12

Postulate 2-2

Back 12

Through any three noncollinear points, there is exactly one plane

Front 13

Postulate 2-3

Back 13

A line contains at least two points

Front 14

Postulate 2-4

Back 14

A plane contains at least three noncollinear points

Front 15

Postulate 2-5

Back 15

If two points lie in a plane, then the entire line containing those two points lies in that plane

Front 16

Postulate 2-6

Back 16

If two planes intersect, then their intersecion is a line

Front 17

Venn diagram

Back 17

Diagram sometimes used to illustrate a conditional

Front 18

Law of Detachment

Back 18

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

Front 19

Deductive reasoning

Back 19

A system for reaching logical conclusions using the law of detachment and other laws of logic

Front 20

Law of Syllogism

Back 20

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