Conditional, Converse, Inverse, Contrapositive Biconditional

When taking the converse we ___________ the hypothesis and conclusion.

• negate
• switch
• leave the same
• switch and negate

When taking the inverse we _____________ the hypothesis and conclusion.

• negate
• switch
• switch and negate
• leave the same

Tags

CCSS.HSF.BF.B.4

What does this mean?

• Conditional 
• Inverse 
• Converse 
• Contrapositive 

What does this mean?

• Conditional 
• Converse
• Inverse
• Contrapositive

What is this?

• Conditional
• Inverse
• Converse
• Contrapositive

Write a definition of congruent angles as a biconditional statement.

• Angles are congruent if they have the same size and shape.

• If angles are congruent, then they have the same size and shape.

• Congruent angles are the same.

• Angles are congruent if and only if they have the same size and shape.

Tags

CCSS.8.G.A.2

Write a definition of a right angle as a biconditional statement.

• An angle is a right angle if and only if it has a measure of 90 degrees.

• An angle has a measure of 90 degrees if and only if it is a right angle.

• Right angles are 90 degrees.

• If an angle is a right angle, then it has a measure of 90 degrees.

Tags

CCSS.HSG.C.A.2

CCSS.HSG.CO.A.1

Select the conditional statement(s) of the biconditional statement.

Points are collinear if and only if they all lie in one line.

• If collinear points lie in one line, then they are a line.

• If points all lie in one line, then they are collinear.

• Collinear points lie in one line.

• If points are collinear, then they all lie in one line.

Identify the hypothesis and conclusion:

If  $3x-7=32$  , then  $x=13.$ 

• Hypothesis:  $3x-7=32$  
  Conclusion: $x=13$  

• Hypothesis: $x=13$  
  Conclusion:  $3x-7=32$  

Tags

CCSS.HSA.REI.A.1

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

Tags

CCSS.HSS.CP.A.3