Bi-conditional Statements

Choose the correct symbolic notation for the statement:

 p if and only if q

• $p\rightarrow q$

• $q\rightarrow p$

• $p\leftrightarrow q$

• $p\wedge q$

Is the following Bi-Conditional statement true?

It is Valentine's Day if and only if it is February 14th.

• Yes, True

• No, False

Identify the Conditional of the following Bi-Conditional statement.

Two angles are supplementary if and only if their sum is $180\degree$ . 

• If two angles are supplementary, then their sum is  $180\degree$ . 

• If two angles are not supplementary, then their sum is not  $180\degree$ . 

• If two angles' sum is  $180\degree$ , then the angles are supplementary. 

• If two angles' sum is not  $180\degree$ , then the angles are not supplementary. 

Identify the Converse of the following Bi-Conditional statement.

Today is Saturday if and only if tomorrow is Sunday.

• If tomorrow is not Sunday, then today is not Saturday.

• If today is Sunday, then yesterday was Saturday.

• If tomorrow is Sunday, then today is Saturday.

• If today is Saturday, then tomorrow is Sunday.

Choose a bi-conditional statement that could be written from the following:

p: a polygon is a triangle

q: a polygon has 3 sides.

• A polygon is a triangle if and only if it has 3 sides.

• A polygon has 3 sides if and only if it is a triangle.

• If a polygon has 3 sides, then it is a triangle.

• A polygon is not a triangle if and only if it does not have 3 sides.