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
Fact-based reasoning
Deductive
Law of Syllogism uses letters...
p, q and r
a=a
Reflexive
If heads → ?
Tails
If a quadrilateral has four right angles, then it is a rectangle. What is the conclusion?
It is a rectangle.
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 quadrilateral has four right angles, then it is a rectangle. What is the converse?
If a quadrilateral is a rectangle, then it has four right angles.
The sum of all even numbers is a positive number
False
-2+2=0, which is not a positive number
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.
If two angles are complementary, then what is the sum of their measures?
90 degrees.
2, 4, 8, 16 → next term?
32
Law of Syllogism is also called
Transitive
∠A ≅ ∠B → m∠A = m∠B
Definition of Conguence
Evidence in court are like geometry facts. Don't....
make stuff up!