Logical Statements and Their Forms

What does the inverse of a statement mean?

• To negate both the hypothesis and the conclusion

• To flip the hypothesis and conclusion

• To write the opposite of a statement

• To contain the phrase 'if and only if'.

Tags

CCSS.L.11-12.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.8.2D

CCSS.W.9-10.2D

Negation means to write the ______ of a statement.

• A) opposite

• B) converse

• C) inverse

• D) contrapositive

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.9-10.2D

A biconditional statement contains the phrase ______.

• A) if and only if

• B) if then

• C) only if

• D) if not

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.9-10.2D

A conditional statement is a logical argument that contains a ______ and a conclusion.

• hypothesis

• negation

• converse

• inverse

Tags

CCSS.L.11-12.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.8.2D

CCSS.W.9-10.2D

Which of the following is a counterexample to the statement: 'If the name of a state contains the word North, then the state borders Canada'?

• North Carolina doesn't border Canada

• North Dakota borders Canada

• North Carolina borders Canada

• North Dakota doesn't border Canada

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Given the conditional statement 'Snakes have no legs', what is the converse?

• If it has no legs, then it is a snake

• If it is a snake, then it has no legs

• If it is not a snake, then it has legs

• If it has legs, then it is not a snake.

Tags

CCSS.L.11-12.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.8.2D

CCSS.W.9-10.2D

Which word from the word bank means to flip and negate the hypothesis and conclusion?

• A) contrapositive

• B) inverse

• C) negation

• D) converse

In the proof 'Given: 10k - 4 = 2k - 20', what is the value of k?

• A) -2

• B) 2

• C) 0

• D) 4

Tags

CCSS.8.G.A.5

What is the reason for the step '8k = -16' in the proof 'Given: 10k - 4 = 2k - 20'?

• Subtraction Property

• Addition Property

• Division

• Given

Tags

CCSS.HSA.REI.A.1

Fill in the blank: In the proof 'Given: 10k - 4 = 2k - 20', the final step is to divide by __.

• A) 8

• B) 4

• C) 2

• D) 10

Tags

CCSS.5.MD.A.1