Inductive/Deductive Reasoning
Conditional Statements
Proofs
Angle Relationships
100
_______ reasoning uses previous examples to determine the outcome of a future scenario.
What is Inductive
100
A conditional statement is a statement that can be written in __-____ form.
What is if-then
100
The first step in writing any proof
What is write down the given
100
The tool used to measure the degree of an angle
What is a protractor
200
When trying to disprove a conjecture, you would provide one __________.
What is a counterexample
200
The words following "if" would be your _______ and the words following "then" is your ______.
What is hypothesis and conclusion
200
Given that C is between A and B and AC is congruent to CB, write a paragraph proof to show that C is the midpoint of AB.
Given that AC and CB are congruent, we know that AC = CB by the definition of congruency. If AC = CB and given that C is between A and B, by the definition of midpoint, we can say that C is the midpoint of AB.
200
When two angles add up to 180 degrees they are
What is supplementary
300
Using the Law of Detachment, is the following conclusion valid or invalid?
If a student gets an A on a final exam, then the student will pass the course. Felicia got an A on her history exam.
Conclusion: Felicia passed the course.
What is valid
300
Put the following statement in if-then form:
Statement: I like to go for a lot of hikes because I really love nature.
What is "If you like to go for a lot of hikes, then you really love nature."
300
Prove that if -5 (x+4) = 70, then x = -18.
Write a justification for each step.
(Use a two-column proof)
-5(x+4)=70 given
x+4=-14 division p.o.e.
x=-18 subtraction p.o.e.
300
Reflexive, Transitive, and
What is symmetric
400
Using the Law of Syllogism, is the following conclusion valid or invalid?
If you go to gymnastics, then you are flexible.
If you do ballet, then you are flexible.
Conclusion: You go to gymnastics.
What is invalid
400
The conclusion of the following statement would be what?
Statement: If it rains, then it pours.
What is "it pours"
400
Write a two-column proof to verify the conjecture:
given
defn. of cong.
substitution p.o.e.
symmetric p.o.e
400
True or False:
Vertical Angles are always congruent.
What is True
500
What can you conclude from the following statements?
1) If you take good notes, then you will do well on the test.
2) If you do well on the test, then you will get an A or B in the class.
What is "If you take good notes, then you will get an A or B in the class."
500
What is the converse of “If today is Wednesday, then yesterday was Tuesday.”?
What is "If yesterday was Tuesday, then today is Wednesday."
500
3. m<EBA=m<1+m<2 substitution
4. m<3+m<2=m<1+m<2 substitution
5. m<EBA=m<DBC substitution
500
Segment Addition Postulate and Angle Addition Postulate can be explained by
What is adding up pieces to make a whole