Conditional Statements
Identify the hypothesis of this conditional statement:
If it is raining outside, then the ground is wet.
If it is raining outside.
_______________ Reasoning is using facts and rules to come to a conclusion
Deductive
The left side of a two column proof is the _________________
Statements
Which law states that if the hypothesis is true, so therefore the conclusion must also be true.
Law of detachment
If I do my homework, then I will get a good grade in class.
Then I will get a good grade in class.
_________________ Reasoning uses patterns and specific examples to come to a conclusion
Inductive
The right side of a two-column proof is the _______________
Law of ________________ also know as the chain rule, or domino effect states that if event A leads to event B, and event B leads to event C, then event A leads to event C.
Syllogism
Write the converse of this statement:
If a shape has 4 sides, then it is a quadrilateral.
If a shape is a quadrilateral, then it has 4 sides.
State whether the scenario is inductive or deductive reasoning:
The student notices that the number sequence: 5,10,15 is going up by 5's, and concludes the next number will be 20
Inductive Reasoning
A _____________ is a convincing argument that uses deductive reasoning.
Proof
State which property proves the conclusion true:
If x = 6, then 6 =x
Symmetric Property
Write the inverse of this statement:
If two angles add up to 90 degrees, then those angles are complementary.
If two angles do not add up to 90 degrees, then those angles are not complementary.
State whether the scenario is inductive or deductive reasoning:
The student concludes that his dog is a mammal, because all dogs are mammals.
Deductive Reasoning
The final statement in a two-column proof should match what one is trying to ______________.
Prove
State which property proves the conclusion true:
If x - 9 = 25, then x=34
addition property of equality
Write the contrapositive of this statement:
If it is raining outside, then the ground is wet.
If the ground is not wet, then it is not raining outside.
Give an example of deductive reasoning:
has to use facts, laws, or rules to come to a conclusion
What ancient Greek came up with the idea of a proof?
Euclid
State which property proves the conclusion true:
If 3(x+5) = 30, then 3x+5 = 30
Distributive property of equality