Geometry C5: Logic and Proof

Question 1

Theorem

Answer 1

A statement that can be proved

Question 2

Axiom/Postulate/Assumtion

Answer 2

A statement that is true

Question 3

What is the hypothesis of a conditional statement?

Answer 3

If p

Question 4

What is the conclusion of a conditional statement?

Answer 4

Then q

Question 5

What is a conditional statement?

Answer 5

If p, then q

Question 6

What is another way a conditional statement can be represented?

Answer 6

p => q

Question 7

What is the converse?

Answer 7

conditional statement reversed

Question 8

Is the converse always true?

Answer 8

no

Question 9

Example of converse

Answer 9

If q, then p

Question 10

Biconditional statement?

Answer 10

If the converse and conditional are both true

Question 11

Notation for Biconitional statement

Answer 11

p ⇔ q

Question 12

Negation

Answer 12

not

Question 13

Symbols for negation

Answer 13

~ or ᆨ

Question 14

Inverse

Answer 14

opposite of statement

Question 15

Example of inverse

Answer 15

if ᆨp, then ᆨ q

Question 16

Contrapositive

Answer 16

inverse of converse

Question 17

example of contrapositive

Answer 17

if ᆨq, then ᆨ p

Question 18

True statement

Answer 18

sufficient

Question 19

False statement

Answer 19

insufficient

Question 20

true converse

Answer 20

necessary

Question 21

false converse

Answer 21

unnecessary