Master Write a conditional statement, its inverse, converse and contrapositive

The video tutorial explains how to write statements in conditional form and transform them into their converse, inverse, and contrapositive. It begins with an introduction to conditional statements, highlighting the importance of identifying the hypothesis and conclusion. The tutorial then demonstrates how to write a statement in conditional form using a geometric example. It further explores the converse, inverse, and contrapositive forms, providing clear examples. Finally, the tutorial applies these concepts to algebraic equations, illustrating how to write and transform algebraic statements using conditional logic.

What is the structure of a conditional statement?

• Else and If

• If and Else

• Conclusion and Hypothesis

• Hypothesis and Conclusion

What is the converse of the statement 'If an angle is right, then it measures 90 degrees'?

• If an angle is not right, then it does not measure 90 degrees

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

• If an angle is right, then it does not measure 90 degrees

• If an angle does not measure 90 degrees, then it is not a right angle

How do you form the inverse of a conditional statement?

• Negate the conclusion only

• Negate the hypothesis only

• Negate both the hypothesis and conclusion

• Swap the hypothesis and conclusion

What is the inverse of the statement 'If an angle is right, then it measures 90 degrees'?

• If an angle is right, then it does not measure 90 degrees

• If an angle does not measure 90 degrees, then it is not a right angle

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

• If an angle is not right, then it does not measure 90 degrees

What is the contrapositive of the statement 'If an angle is right, then it measures 90 degrees'?

• If an angle is not right, then it does not measure 90 degrees

• If an angle is right, then it does not measure 90 degrees

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

• If an angle does not measure 90 degrees, then it is not a right angle

In the algebraic example, what is the conditional statement for '2x + 1 = 9'?

• If x = 4, then 2x + 1 = 9

• If 2x + 1 does not equal 9, then x does not equal 4

• If 2x + 1 = 9, then x = 4

• If x does not equal 4, then 2x + 1 does not equal 9

What is the contrapositive of the algebraic statement 'If 2x + 1 = 9, then x = 4'?

• If 2x + 1 does not equal 9, then x does not equal 4

• If 2x + 1 = 9, then x = 4

• If x = 4, then 2x + 1 = 9

• If x does not equal 4, then 2x + 1 does not equal 9