Logic? Aliens.
P(lea)s and
(than)Qs
(than)Qs
Indubitably
Conditional Love
Prove Yourself
100
Write a counterexample for the following statement: “the sum of two even numbers is always positive.”
Negative numbers
100
Finish each sentence.
P is the
Q is the
Hypothesis
Conclusion
100
Assuming Line AB bisects Segment PR at point T, what can be assumed?
PT=RT, T is the midpoint of PR
100
Write the converse of: “If it is Wednesday, then it is fun.”
If it is fun, then it is Wednesday.
100
Define Linear Pair
Two adjacent supplementary angles
200
How many examples should you have when writing a conjecture?
3
200
Create a truth table for ~p ➡️ q
FFTT
TFTF
TTTF - final
200
What is true of vertical angles?
They are congruent
200
What two statements must be true in order to write a biconditional statement?
Converse and Conditional
200
BC=GD, YT=GD, so BC=YT.
Name the property that was used.
Transitive Property of Equality
300
Make a conjecture about the sum of any 5 consecutive integers.
The middle number times 5 is the sum
300
Create a truth table for ~(p➡️~q)
TTFF
FTFT
FTTT
TFFF - final
300
Draw a diagram and write an equation that represent the Segment Addition Postulate.
See student answers
300
Write “If two lines are parallel, then they never intersect.” As a bicondional statement.
Two lines never intersect if and only if they are parallel.
Two lines are parallel if and only if they never intersect.
300
If angles 1 and 2 are both right angles, what reason would allow me to say that angles 1 and 2 are congruent?
Right Angle Congruence Theorem
400
What field are truth tables most related to?
Computer science, law
400
Create a truth table for ~(p ➡️q)
FTFF
400
Angle 2 is congruent to Angle 1, so Angle 1 is congruent to Angle 2.
Name the property.
Symmetric Property of Angle Congruence
400
Write the inverse of “If it is December, then it is okay to play Christmas music.”
If it is not December, then it is not okay to play Christmas music.
400
Fill in the blank
Congruent Supplements Theorem
500
What type of reasoning uses facts, definitions, and the laws of logic?
Deductive
500
If p, then q. (p ➡️ q)
Write the inverse in p, q form using an arrow to show direction.
~p ➡️~q
500
Correct the error in notation using the fewest number of edits.
<ABC = <DEF
Change = to “congruent”
500
The conditional statement is always logically equivalent with its
Contrapositive
500
Fill in the blank.
Congruent Complements Theorem