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?