Conditional Statements

Identify the hypothesis: If we work hard, then we will be successful.

• If we work hard

• then we will be successful

• we work hard

• we will be successful

Identify the conclusion: If we work hard, then we will be successful.

• If we work hard

• then we will be successful

• we work hard

• we will be successful

Identify the converse: If we work hard, then we will be successful.

• If we work hard, then we will be successful.

• If we will be successful, then we work hard.

• If we are not successful, then we did not work hard

• If we do not work hard, then we will not be successful

Identify the inverse: If we work hard, then we will be successful.

• If we work hard, then we will be successful.

• If we will be successful, then we work hard.

• If we are not successful, then we did not work hard

• If we do not work hard, then we will not be successful

Identify the contrapositive: If we work hard, then we will be successful.

• If we work hard, then we will be successful.

• If we will be successful, then we work hard.

• If we are not successful, then we did not work hard.

• If we do not work hard, then we will not be successful.

Identify the hypothesis: If an angle is  $90\degree$ , then it is a right angle.

• If an angle is  $90\degree$  

• then it is a right angle

• an angle is  $90\degree$  

• it is a right angle

Identify the conclusion: If an angle is  $90\degree$ , then it is a right angle.

• If an angle is  $90\degree$  

• then it is a right angle

• an angle is  $90\degree$  

• it is a right angle

Identify the converse: If an angle is  $90\degree$ , then it is a right angle.

• If an angle is  $90\degree$ , then it is a right angle

• If the angle is a right angle, then the angle is  $90\degree$  

• If an angle is not  $90\degree$  , then it is not a right angle.

• If an angle is not a right angle, then it is not  $90\degree$  .

Identify the inverse: If an angle is  $90\degree$ , then it is a right angle.

• If an angle is  $90\degree$ , then it is a right angle

• If the angle is a right angle, then the angle is  $90\degree$  

• If an angle is not  $90\degree$  , then it is not a right angle.

• If an angle is not a right angle, then it is not  $90\degree$  .

Identify the contrapositive: If an angle is  $90\degree$ , then it is a right angle.

• If an angle is  $90\degree$ , then it is a right angle

• If the angle is a right angle, then the angle is  $90\degree$  

• If an angle is not  $90\degree$  , then it is not a right angle.

• If an angle is not a right angle, then it is not  $90\degree$  .