Geometry (Related Conditionals, Bi Conditionals, Truth )

Which compound statement is FALSE given the following:

p-A triangle has 3 sides (true)

q-Mr. Rachel can dunk a basketball on a 10 foot goal (false)

r-A right angle measures 90 degrees (true)

• $\left(p\vee q\right)\wedge r$

• $\left(p\wedge q\right)\vee r$

• $\left(p\wedge q\right)\wedge r$

• $\left(p\wedge r\right)\vee q$

Which conditional is FALSE given the following:

p-A triangle has 3 sides (true)

q-Mr. Rachel can dunk a basketball on a 10 foot goal (false)

r-A right angle measures 90 degrees (true)

•  $\left(p\vee q\right)\rightarrow r$ 

•  $\left(\sim p\wedge q\right)\rightarrow r$ 

•  $\left(p\wedge q\right)\rightarrow r$ 

•  $\left(p\wedge r\right)\rightarrow q$ 

Which of the following is a TRUE conditional given the following:  (Select all that apply)

p-A triangle has 2 sides (false)

q-Mr. Rachel can dunk a basketball on a 10 foot goal (false)

r-A right angle measures 90 degrees. (true)

s-A rectangle has four sides. (true)

•  $p\rightarrow q$ 

•  $r\rightarrow s$ 

•  $s\rightarrow p$ 

•  $p\rightarrow s$ 

Which compound statement is TRUE given the following:

p-A triangle has 3 sides (true)

q-Mr. Rachel can dunk a basketball on a 10 foot goal (false)

r-A tiger is a type of dog (false)

• $\left(p\vee q\right)\wedge r$

• $\left(p\wedge q\right)\vee r$

•  $\left(p\vee q\right)\vee r$ 

•  $\left(p\wedge r\right)\wedge q$ 

Given the following:
p-An angle is a right angle
q-An angle measures 90 degrees
Which statement below is the verbal representation of

 $p\leftrightarrow q$  ?

• If an angle is a right angle, then an angle measures 90 degrees.

• If an angle measures 90 degrees, then an angle is a right angle.

• An angle is a right angle if and only if an angle measures 90 degrees.

• An angle measures 90 degrees if and only if an angle is a right angle.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Given the original conditional:

 $p\rightarrow q$  ?

Which symbolic representation represents the inverse?

•  $p\rightarrow q$  
  

•  $q\rightarrow p$  
  

•  $\sim p\rightarrow\sim q$  
  

•  $\sim q\rightarrow\sim p$  
  

Given the original conditional:

 $p\rightarrow q$  ?

Which symbolic representation represents the converse?

•  $p\rightarrow q$  
  

•  $q\rightarrow p$  
  

•  $\sim p\rightarrow\sim q$  
  

•  $\sim q\rightarrow\sim p$  
  

Given the original conditional:

 $p\rightarrow q$  ?

Which symbolic representation represents the contrapositive?

•  $p\rightarrow q$  
  

•  $q\rightarrow p$  
  

•  $\sim p\rightarrow\sim q$  
  

•  $\sim q\rightarrow\sim p$  
  

Given the CONVERSE of an original conditional, which conditional below is LOGICALLY EQUIVALENT to the CONVERSE?

• Original Conditional

• Inverse

• Contra-positive

• I advise you not to pick this answer.

Given the an original conditional, which conditional below is LOGICALLY EQUIVALENT to the ORIGINAL CONDITIONAL?

• Original Conditional

• Inverse

• Contra-positive

• I advise you not to pick this answer.