Conditionals
Indirect Proofs
inductive reasoning
Biconditionals
Truth Value
100

Identify the hypothesis and conclusion:

If you study for your test, then you will get a good grade.

hypothesis: you study for your test

conclusion: you will get a good grade

100

Used to prove a conjecture false

counterexample

100

A type of reasoning that reaches conclusions based on a pattern

inductive reasoning

100

A biconditional is true if the ______ and _______ are true.

conditional and converse

100

Saying that a statement is true or false is called:

truth value

200

What do you call an "if-then" statement?

conditional statement

200

Prove the statement false with a counterexample:

All fractions are between 0 and 1.

possible answer: 5/4 

200

A rule based on a pattern

conjecture

200

Write the biconditional:

If I spend $75 online, then I will get free shipping.

I spend $75 online if and only if I get free shipping.

200

What is the truth value for the conditional:

If it is below 32 degrees, then it snowed.

False

300

Write the converse:

If you study for your test, you will get a good grade.

If you get a good grade, then you study for your test.
300

Prove the statement false with a counterexample:

Every city in Alabama starts with the letter A.

possible answer: Daphne

300

Complete the sequence:

1,1,2,3,5,8,__,___

13,21

300

The converse is where you _____ the hypothesis and conclusion.

swap

300

What is the truth value for the CONVERSE of the statement:

If it is below 32 degrees, then it snowed.

converse: If it snowed, then it is below 32 degrees.

true

400

Write the inverse:

If you study for your test, then you will get a good grade.

If you did not get a good grade, then you did not study for your test.

400

Prove the statement false with a counterexample:

Supplementary angles are always equal.

possible answer: 150 and 30 are supplementary and not equal to each other

400

Complete the sequence:

-2,-4,-6,-8,__,__

-10,-12

400

The inverse is where you ________ the hypothesis and conclusion.

negate

400

What is the truth value for the INVERSE of the statement:

If it is below 32 degrees, then it snowed.

The inverse says: If it is not below 32 degrees, then it did not snow.

True

500

Write the contrapositive:

If you did not study for the test, then you did not get a good grade.

If you did not get a good grade, then you did not study for the test.

500

Prove the statement false with a counterexample:

If an angle is acute, then it is 45 degrees.

possible answer: 30 is acute

500

Complete the sequence:

A,C,E,__,___

G,I

500

The contrapositive is where you ______ and ______ the hypothesis and conclusion.

swap and negate

500

What is the truth value for the CONTRAPOSITIVE of the statement:

If it is below 32 degrees, then it snowed.

contrapositive: if it did not snow, then it is not below 32 degrees.

false