3.1: Conjectures and Counterexamples
3.2: Statements, Conditionals, and Biconditionals
3.3: Deductive Reasoning
3.4
Fun!
100
Each term in the pattern is ____ the previous term:
4, 8, 12, 16, 20
What is four more than?
100
The symbol for "or"
What is V?
100
At Fumio’s school, if a student is late five times, then the student will receive a detention. Fumio has been late to school five times. Therefore, he will receive a detention.
What is deductive reasoning?
100
Through any 2 points, there is exactly one line.
What is Postulate 3.1?
100
The holiday that falls on October 31st
What is Halloween?
200
Use a conjecture to find the next term in the sequence:
Percent humidity: 100%, 93%, 86%, . . .
What is 79%?
200
The hypothesis of "If two angles are adjacent, then they have a common side."
What is "two angles are adjacent?"
200
If p implies q, and q implies r, then p implies r.
What is the law of syllogism?
200
It starts with the given statement, and uses statements and reasons to develop a deductive arguments.
What is a proof? (Or two-column proof)
200
A two day holiday that reunites the living and the dead.
What is Día de los Muertos (or Day of the Dead)?
300
Two intersecting lines that form four congruent angles are ________
What is perpendicular?
300
The following statement in if-then form "Everybody at the party received a gift."
What is "if you were at the party, then you recieved a gift"
300
This is an example of the Law of ____:
Given: If 75% of the prom tickets are sold, then the prom will be held at the country club. 75% of the prom tickets were sold.
Conclusion: The prom will be held at the country club.
What is the Law of Detachment?
300
If M is the midpoint of AB, then AB is congruent to MB.
What is the Midpoint Theorem?
300
It was a graveyard smash!
What is the Monster Mash?
400
The following conjecture is true or false. If it is false, provide a counterexample:
If x is an integer, then -x is positive.
What is false, x=2?
400
The inverse of "If two angles are complementary, then the angles are acute."
What is "If two angles are not complementary, then the angles are not acute"
400
This is a _____ statement:
Given: If a figure is a square, then it has four right angles. Figure ABCD has four right angles.
Conclusion: Figure ABCD is a square.
What is invalid?
400
If a=b, and b=c, then a=c.
What is the Transitive Property of Equality?
400
Jack Skellington’s long-time rival in The Nightmare before Christmas.
Who is Oogie Boogie?
500
The product of two numbers is always _____
What is odd?
500
A polygon is a quadrilateral if and only if it has four sides.
What is a true biconditional?
500
A valid conclusion from the following:
If the measure of an angle is between 90° and 180°, then it is obtuse.
If an angle is obtuse, then it is not acute.
What is "If the measure of an angle is between 90 and 180 degrees, then it is not acute"
500
If Q is the midpoint of PR, then this reason is used to prove PQ is congruent to QR.
What is definition of congruence?
500
The author of the classic horror novel, Frankenstein.
Who is Mary Shelley?