Conditionals
What’s the “if” part called?
Answer: Hypothesis
Pattern-based reasoning
Answer: Inductive
Law of Detachment uses
Facts
2-column proof has statements and
Answer: Reasons
If red light → ?
Answer: Stop
What’s the “then” part called?
Conclusion
Rule-based reasoning
Deductive
Law of Syllogism uses
Chain
a=a
Reflexive
If heads → ?
Tails
Opposite order, opposite truth value.
Contrapositive
True or False: Inductive can be wrong
True
If it rains, then wet. It rains.
Wet
If AB=CD then CD=AB
Symmetric Property
Inductive or Deductive? “It rained 3 days, so it rains every day.”
Inductive Reasoning
If a statement and its converse are true
Bioconditional
Deductive reasoning always
Certain or True
If square → rectangle; rectangle → 4 right angles. Square → ?
4 Right Angles
If a=b & b=c → a=c
Sandy earned A’s on her first six geometry tests, so she concludes that she will always earn A’s on geometry tests.
Inductive because it's a pattern.
Symbol for “if–then.”
→
2, 4, 8, 16 → next term?
32
Law of Syllogism is also called
Transitive
∠A ≅ ∠B → m∠A = m∠B
Definition of Conguence
Proofs in court are like geometry proofs. One word
One word → Evidence