H.G. Unit 2 Quiz Review

Match the statement with its symbolic notation.

• ~q → ~p

• Conditional Statement

• p ↔ q

• Contrapositive

• q → p

• Converse

• p → q

• Inverse

• ~p → ~q

• Biconditional Statement

Identify the hypothesis and conclusion of the conditional statement:

"If I eat too fast, then my stomach will hurt later."

Hypothesis:​ (a)  

Conclusion:​ (b)  

• I eat too fast
• My stomach will hurt later

Identify the hypothesis and conclusion of the conditional statement:

"If I get an A on the quiz, then I can buy a new game."

Hypothesis:​ (a)  

Conclusion:​ (b)  

• I get an A on the quiz
• I can buy a new game

Write the INVERSE of the conditional statement:

"If two angles are vertical angles, then they are congruent."

Write the CONVERSE of the conditional statement:

"If two angles are vertical angles, then they are congruent."

Write the CONTRAPOSITIVE of the conditional statement:

"If two angles are vertical angles, then they are congruent."

Write the INVERSE of the conditional statement:

"If you lift weights, then you get stronger."

Write the CONVERSE of the conditional statement:

"If you lift weights, then you get stronger."

Write the CONTRAPOSITIVE of the conditional statement:

"If you lift weights, then you get stronger."

Is this biconditional statement true or false?

"A number is even if and only if it is divisible by two."

• True

• False