Logical Statements and Their Forms

Given the statement: “All pelican eat fish.” Find the following:

conditional​ ​ (a)   ​ ​ converse​ ​ (b)   inverse​ ​ (c)   contrapositive​ (d)   biconditional​ (e)  

• If a bird is a pelican, then it eats fish.
• If a bird eats fish, then it is a pelican.
• If a bird is not a pelican, then it does not eat f
• If a bird does not eat fish, then it is not a peli
• A bird is a pelican if and only if it eats fish.

Given the statement: “All dogs are mammals.” Match the following:

• It's a dog if and only if it's a mammal.

• converse​

• If it's not a mammal, then it's not a do

• conditional​

• If it's a dog, then its' a mammal.

• contrapositive​​

• If it's a mammal, then it's a dog.

• inverse​

• If it's not a dog, then it's not a mamma

• biconditional​

Given the statement: “Two perpendicular lines always form a right angle.” Match the following: ​ ​

• contrapositive​

• converse

• conditional​

• biconditional

• inverse​​

Given the statement: “Vertical angles are congruent.” Match the following:​ ​ ​

• converse​

• biconditional

• inverse​​

• contrapositive​​​​

• conditional​

Tags

CCSS.HSG.CO.C.9

• Given the statement: “A right angle is 90°” Match the following: ​ ​ ​

• If it's a right angle, then it is 90°.

• contrapositive​​

• A right angle is 90° if and only if it is a right angle.

• conditional​

• If it is not a right angle, then it is not 90°.

• converse​

• If it's 90°, then it's a right angle.

• inverse

• If it is not 90°, then it is not a right angle.

• biconditional​