Inductive reasoning
Statements and negations
Converse, Inverse, and Contrapositive
Conditionals
Biconditionals
100
The number that comes next in the sequence: -1, 3, 7, 11, 15, 19...
What is 23?
100

What is the truth value of the following statement: Chambersburg Area Senior High School is in Chambersburg.

What is true?

100

Write the converse of this statement, If Sherman is going to the mall, then Beth is going to the movies.

What is "If Beth is going to the movies, then Sherman is going to the mall"?

100
State the hypothesis of the following conditional: "If you hear the fire alarm, then you should exit the building."
What is "you hear the fire alarm"?
100

What is a biconditional statement?

A statement containing the phrase "if and only if"

200
The number that comes next in the following sequence: -5, 15, -45, 135, ...
What is -405?
200
What is the negation of the following statement: Complementary angles add up to 90 degrees.
What is "Complementary angles do not add up to 90 degrees"?
200

What is the inverse of this statement. "If two angles are congruent, then two angles have the same measure."

If two angles are not congruent, then two angles do not have the same measure.

200
State the conclusion of the following conditional: If they raise enough money, then the student group will go on a field trip.
What is "the student group will go on a field trip"?
200

Is this biconditional true or false? Three points are coplanar if and only if they lie on the same plane.

True

300
The number that comes next in the sequence: 14, 13, 11, 8, 4, -1, -7, ...
What is -14?
300

What is the negation of a statement?

The opposite 

300

What is the converse of a statement?

What is when you "switch" the two parts of a statement?

300

Inductive or Deductive? Over the last 8 years, the population of a certain city has increased. We can conclude that the population will continue to increase.

What is Inductive?

300

Is this biconditional true or false? A number is even if and only if it is divisible by 2.

True

400
The vocabulary word for a guess, prediction, or assumption made using inductive reasoning.
What is a conjecture?
400
Write the negation of "Points A, B, and C are collinear".
What is "Points A, B, and C are noncollinear"?
400

What is the contrapositive of a statement?

What is when you "switch" and "not" a statement?

400

Inductive or Deductive? All dogs go to heaven. Sparky is a dog, so he is going to heaven.

Deductive

400

Is this biconditional true or false? An angle's measure is 43 degrees if and only if the angle is acute.

False

500
The next item in the sequence: January March May
What is July?
500

Which student is correct: Student A: "The converse of a statement means to 'switch' the parts of the statement". Student B: "No, the converse of a statement means to 'not' the parts of the statement".

Who is Student A?

500

What is the contrapositive of this statement, "If you study for a test, then you will receive a better grade"?

What is, "If you do not receive a better grade, then you did not study for a test"?

500

What is the converse of the following statement: "If a polygon is a rectangle, then it is a square."

"If a polygon is a square, then it is a rectangle" 

500

How do you check if a biconditional statement is true or false?

You check to see if its if-then statement and converse statement is true.

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