Q1 Vocabulary Review GEO

Match the following vocabulary term to its definition.

• Having the opposite truth value. ∼

• Negation

• The phrase following "then"

• Conclusion

• The phrase following "if"

• "And"

• ⋁

• Hypothesis

• ⋀

• "Or"

Tags

CCSS.HSS.CP.A.1

If​ (a)   you live in Nashville, then ​ (b)   you live in Tennessee.

• Hypothesis
• Conclusion
• Compound
• Negation
• Conditional

Match the following to its symbolic form.

• p ∧ q

• Disjunction

• p ∨ q

• Inverse

• q → p

• Converse

• ∼q → ∼p

• Conjunction

• ∼p → ∼q

• Contrapositive

Which statement represents a biconditional?

• If two angles are supplementary, then the sum of their measures in 180.

• If the sum of two angle measures is 180, then they are supplementary.

• Two angles are supplementary if and only if the sum of their measures is 180.

• If the sum of two angles don't measure 180, then they are not supplementary.

Which is true about a venn diagram to represent this statement: "p → q" ?

• The circle for q will contain all of the circle p.

• The circle p will contain all of the circle q.

Tags

CCSS.HSS.CP.A.3

Which statement describes the venn diagram to represent this statement: "p or q" ?

• All of the venn diagram is shaded.

• Just the middle of the venn diagram is shaded.

Tags

CCSS.HSS.CP.A.1

Which is true about the venn diagram representing the following statement: "p and q" ?

• Just the middle is shaded.

• All of the venn diagram is shaded.

Tags

CCSS.HSS.CP.A.1

Law of Detachment:

​ (a)   → ​ (b)  

​ (c)  

∴​ (d)  

• p
• q
• r

Law of Syllogism:

​ (a)   → ​ (b)  

​ (c)   → ​ (d)  

∴​ p → ​ (e)  

• p
• q
• r
• s

Given: If I drive over the speed limit, then I will get a ticket.

Given: I drove over the speed limit.

Conclusion: I got a ticket.

• Law of Detachment

• Law of Syllogism