Ch 2 - Vocab And Postulates

Question 1

Conjecture

Answer 1

Unproven statement based on observation

Question 2

Counterexample

Answer 2

Specific case where conjecture is false

Question 3

If - then statement

Answer 3

Conditional statement written in format with “if” and “then”

Question 4

Converse

Answer 4

Write conditional statement with conclusion and hypothesis flipped

Question 5

Inverse

Answer 5

Conditional statement with hypothesis and conclusion negative

Question 6

Contrapositive

Answer 6

To write hypothesis and conclusion in opposite order and negate them

Question 7

Law of detachment

Answer 7

If hypothesis is true, then conclusion is true

Question 8

Law of syllogism

Answer 8

If hypothesis p, then conclusion q
If hypothesis q, then conclusion r
If hypothesis p, then conclusion r

middle man

Question 9

Reflexive prop

Answer 9

a=a
AB=AB
m<a></a>

Question 10

Symmetric prop

Answer 10

If a=b then b=a
If AB=CD then CD=AB
If m<a></a>

Question 11

Transitive prop

Answer 11

Law of syllogism

Question 12

Linear pair

Answer 12

Two angles that equal 180 degrees touching

Question 13

Vertical

Answer 13

Opposite

Question 14

Complementary

Answer 14

90

Question 15

Supplementary

Answer 15

180