Deductive Reasoning

We represent a CONDITIONAL statement with what notation?

• p⇒q

• q⇒p

• ~p⇒~q

• ~q⇒~p

The INVERSE is represented by:

• p⇒q

• q⇒p

• ~p⇒~q

• ~q⇒~p

The CONVERSE looks like __________.

• p⇒q

• q⇒p

• ~p⇒~q

• ~q⇒~p

The CONTRAPOSITIVE statement takes this form:

• p⇒q

• q⇒p

• ~p⇒~q

• ~q⇒~p

Which two statements share TRUTH VALUE (both statements are either True or False)?

• Conditional & Inverse

• Conditional & Converse

• Inverse & Converse

• Inverse & Contrapositive

Which two statements share TRUTH VALUE (both statements are either True or False)?

• Conditional & Inverse

• Conditional & Contrapositive

• Contrapositive & Converse

• Inverse & Contrapositive

What is the next step to solve this equation:

3x - 9 = x + 14

• add 3x to both sides

• subtract 9

• subtract x from both sides

• subtract 14

I'm working on a proof and make the following statement:

∠A ≅ ∠A

What reason would I give to justify that?

• Distributive Property

• Addition Property of Equality

• Transitive Property

• Reflexive Property

Identify the HYPOTHESIS in this statement:

If it is a national holiday we don't have school.

• It is a national holiday

• we don't have school

• Inverse

• Conditional

I'm working on a proof and see these two steps:

2x + 8 = 12

2x = 4

What reason describes what happened there?

• add 4 to both sides

• Subtraction Property of Equality

• Reason

• Segment Addition Property