Chapter 2 - Lesson 2 Flashcards
Conditional Statement
A statement that is written in if-then form.
Ex: If today is Friday, then tomorrow is Saturday.
Hypothesis
The phrase following word if.
Conclusion
The phrase following word then.
(Identity p and q)
If the forecast is rain, then I will bring an umbrella.
p = Forecast is rain. q = I will bring an umbrella.
(Identity p and q)
A number is divisible by 10 if its last digit is 0.
p = A number is divisible by 10. q = Its last digit is 0.
(Write in if-then form)
A mammal is a warm-blooded animal.
If an animal is warm-blooded, then it is a mammal.
(Write in if-then form)
Verticle angles share a vertex.
If the angles are vertical, then they will share a vertex.
(Write in if-then form)
The day after Monday is Tuesday.
If the day is Monday, then tomorrow is Tuesday.
(Write in if-then form)
The sum of the measures of two supplementary angles is 180 degrees.
If the angle measures 180 degrees, then it’s a supplementary angle.
(True or False)
If a woman is German, she is European.
True
(True or False)
If a number is divisible by 3, then it is odd.
False
What does ~ mean?
“not p” or not or opposite
Conditional
p–>q - If p, then q.
Converse (Flip)
q–>p - If q, then p
Inverse
~p–> ~q - If not p, then not q.
Contrapositive
~q–> ~p - If not q, then not p.
What is the converse of this sentence?
If today is Friday then tomorrow is Saturday.
If tomorrow is Saturday, then today is Friday.
What is the inverse of this sentence?
If today is Friday then tomorrow is Saturday.
If today isn’t Friday, then tomorrow isn’t Saturday.
What is the contrapositive of this sentence?
If today is Friday then tomorrow is Saturday.
If tomorrow isn’t Saturday, then today isn’t Friday.
