Geometry C5: Logic and Proof Flashcards

1
Q

Theorem

A

A statement that can be proved

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2
Q

Axiom/Postulate/Assumtion

A

A statement that is true

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3
Q

What is the hypothesis of a conditional statement?

A

If p

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4
Q

What is the conclusion of a conditional statement?

A

Then q

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5
Q

What is a conditional statement?

A

If p, then q

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6
Q

What is another way a conditional statement can be represented?

A

p => q

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7
Q

What is the converse?

A

conditional statement reversed

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8
Q

Is the converse always true?

A

no

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9
Q

Example of converse

A

If q, then p

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10
Q

Biconditional statement?

A

If the converse and conditional are both true

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11
Q

Notation for Biconitional statement

A

p ⇔ q

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12
Q

Negation

A

not

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13
Q

Symbols for negation

A

~ or ᆨ

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14
Q

Inverse

A

opposite of statement

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15
Q

Example of inverse

A

if ᆨp, then ᆨ q

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16
Q

Contrapositive

A

inverse of converse

17
Q

example of contrapositive

A

if ᆨq, then ᆨ p

18
Q

True statement

A

sufficient

19
Q

False statement

A

insufficient

20
Q

true converse

A

necessary

21
Q

false converse

A

unnecessary