Conditional Statements
Converse & Inverse
Proofs
Contrapositive
Law of Syllogism & Detachment
100
The first part of a conditional statement is called the...
hypothesis
100
The converse does what to the original conditional statement?
Reverse or Flip
100
How are they/ are they not congruent?
ASA
100
Contrapositive negates and does this other thing to the original conditional statement
flips, reverses
100
(LOD)
If a student gets an A on a final exam, then the student will pass the course.
Amy got an A on her Music Exam.
Amy will pass the course
200
The second part of a conditional statement is called the...
conclusion
200
What is the converse of this statement?
If I run in the rain then I slip and fall.
If I slip and fall, then I ran in the rain.
200
How are they/are they not congruent?
SSA (Not Congruent)
200
What is the contrapositive of this statement?
If an angle is greater than 90 degrees then it is not acute.
If an angle is acute then it is not greater than 90 degrees
200
LOD
If a student wants to go to college, then the student must study hard.
Ryan wants to go to UNO.
Ryan must study hard.
300
If I bowl 300 then I can call myself a professional
What part of this statement is the conclusion.
Then I can call myself a professional
300
What is the converse of this statement?
If x-4=7 then x=3.
If x=3 then x-4=7
300
What statement and reason do you need to give to prove these triangles are congruent by the AAS Postulate?
BD is congruent to BD by the reflexive property
300
What is the contrapositive of this statement?
If a student is a senior, they have a pass to leave the building.
If a student doesn't have a pass to leave the building, then they are not a senior.
300
LOS
If you live in Omaha, then you live in Nebraska.
If you live in Michigan, then you live in the USA.
No conclusion can be made
400
If you don't have a pass then you are tardy
What is the hypothesis in this statement?
If you don't have a pass.
400
What is the inverse of this statement?
If I like hamburger, then I don't like pepperoni.
If I don't like hamburger, then I do like pepperoni.
400
What information do we need to prove congruency by SAS? (_______ is congruent to ______)
EG is congruent to GJ
400
What is the contrapositive of this statement?
If a student is in the math IMC, they are not working on English.
If a student is working on English, they are not in the math IMC.
400
LOS
If you like tomatoes, then you like salsa.
If you like salsa, then you like tacos.
If you like tomatoes, then you like tacos.
500
Make this into a conditional statement.
Dogs are pets.
If an animal is a dog, then it is a pet.
500
What is the inverse of this statement?
If I sit out of the next game, then I miss practice.
If I don't sit out the next game, then i didn't miss practice.
500
What reason can we give that angle LNS and angle WNK are congruent?
Vertical Angle Theorem
500
What is the contrapositive of this statement?
If a student doesn't eat lunch, then they are not in the courtyard.
If a student is in the courtyard, then they are eating lunch.
500
LOD
If you go to WHS, then you are a Warrior.
Trea is a senior at WHS.
Trea is a Warrior.