CP Geometry 9/8/14
2.3A Conditional Statements
Term
Name____________________________
Definition
conditional statement
if- then statement
hypothesis of a
conditional statement
conclusion of a
conditional statement
1.
2.
Conditional Statement: A detention will be assigned to students with three tardies this quarter.
a.
Why is this statement considered a conditional statement?
b.
If-then statement: ______________________________________________________________________________
c.
Hypothesis: ______________________________________________________________________________
d.
Conclusion: ______________________________________________________________________________
Conditional Statement: The Cardinals Game for Saturday will be rescheduled if it gets rained out.
a.
Why is this statement considered a conditional statement?
b.
If-then statement: ______________________________________________________________________________
c.
Hypothesis: ______________________________________________________________________________
d.
Conclusion: ______________________________________________________________________________
Related
Conditionals
converse
Definition
Conditional: If mA  35 , then A is acute
Converse:
inverse


Conditional: If mA  35 , then A is acute
Inverse:
contrapositive


Conditional: If mA  35 , then A is acute
Contrapositive:

Conditional Statement:

Lions are cats that can roar
Conditional in If-then form: ____________________________________________________________________________________
Converse: _______________________________________________________________________________________________________
Inverse: _______________________________________________________________________________________________________
Contrapositive: __________________________________________________________________________________________________
CP Geometry 9/8/14
2.3 CW/HW
Name______________________________
Identify the hypothesis and conclusion of each conditional statement in if-then form.
Then write the converse, inverse and contrapositive of each conditional statement.
[p. 111 # 18-20]
18.
If two angles are adjacent, then they have a common side.
Hypothesis: _________________________________
Conclusion: _________________________________
Converse: _______________________________________________________________________________________________________
Inverse: _______________________________________________________________________________________________________
Contrapositive: __________________________________________________________________________________________________
19.
If you lead, then I will follow.
Hypothesis: _________________________________
Conclusion: _________________________________
Converse: _______________________________________________________________________________________________________
Inverse: _______________________________________________________________________________________________________
Contrapositive: __________________________________________________________________________________________________
20.
If 3x -4 = 11, then x=5
Hypothesis: _________________________________
Conclusion: _________________________________
Converse: _______________________________________________________________________________________________________
Inverse: _______________________________________________________________________________________________________
Contrapositive: __________________________________________________________________________________________________
Write the following conditional statements in if-then form, then underline the hypothesis and circle the
conclusion. Next, write the converse, inverse and contrapositive of each conditional statement.
[p. 112 #26-30 even]
26.
Get a free water bottle with a one-year membership.
Conditional in If-then form: ____________________________________________________________________________________
Converse: _______________________________________________________________________________________________________
Inverse: _______________________________________________________________________________________________________
Contrapositive: _________________________________________________________________________________________________
28.
The intersection of two planes is a line.
Conditional in If-then form: ____________________________________________________________________________________
Converse: _______________________________________________________________________________________________________
Inverse: _______________________________________________________________________________________________________
Contrapositive: _________________________________________________________________________________________________
30.
Collinear points lie on the same line.
Conditional in If-then form: ____________________________________________________________________________________
Converse: _______________________________________________________________________________________________________
Inverse: _______________________________________________________________________________________________________
Contrapositive: _________________________________________________________________________________________________