PROOFS
LOGICAL STATEMENTS
REASONING
COUNTEREXAMPLES
1
What goes FIRST in a proof?
The GIVEN!
1
What type of statement is an "if-then"?
Conditional
1
What type of reasoning uses FACTS to make a conclusion?
Deductive Reasoning
(Think: Detective!)
1
TRUE or FALSE: A counterexample proves that a statement is FALSE.
TRUE
2
What REASON would prove that ∠A ≅ ∠B ?
Definition of congruence
2
What type of statement contains "if and only if" ?
Biconditional
2
What type of logic uses OBSERVATIONS and PATTERNS to make a conclusion?
Inductive Reasoning
(aka jumping to conclusions)
2
Provide a counterexample to the statement:
The sky is always blue
- The sky is dark at night
-The sky is grey when it's rainy
- The sky is orange/pink/purple at sunset
3
Which step of following Uno proof contains an error?
Statement
1. Yellow 7
2. Red 7
3. Red 5
4. Blue 4
5. Blue 6
STEP 4
3
Which statement is the inverse of the following conditional?
"If it is my birthday then there is cake."
▢ If it is NOT my birthday then there is NOT cake
▢ If there is NOT cake then it is NOT my birthday
▢ If there is cake then it is my birthday
If it is NOT my birthday then there is NOT cake
3
The statement "The sum of two 2-digit number is always a 3-digit number" is an example of what type of reasoning?
Inductive
3
Provide a counterexample to the statement:
"My students are always on time for class"
[INSERT TARDY STUDENT'S NAME HERE]
lol
4
What number card(s) can be used to correct the error in STEP 3 ? [NAME ALL THAT APPLY]
Statement
1. Red 8
2. Green 8
3. Blue 3
4. Blue 5
5. WILD
6. Red +2
Green 5 OR Blue 8
4
What is the contrapositive of the statement "If the angles are congruent, then they are vertical angles" ?
If they are NOT vertical angles then the angles are NOT congruent.
4
The statement "All oranges are fruits. All fruits grow on trees. Therefore, all oranges grow on trees" is an example of what type of reasoning?
Deductive
4
Provide a counterexample to the statement:
"Inception is the best Leonardo Dicaprio movie"
[INSERT LITERALLY ANY OTHER LEONARDO DICAPRIO MOVIE HERE]