TOPIC 8-1: CONDITIONAL STATEMENTS
TOPIC 8-1: CONDITIONAL STATEMENTS
|TERM: |DEFINITION: |
|Conditional Statement |A statement written in “if-then” format |
|Hypothesis |The phrase following but NOT INCLUDING the word if. |
|Conclusion |The phrase following but NOT INCLUDING the word then. |
EXAMPLE 1: State the hypothesis and conclusion of the
conditional statement below.
If you have no more than two absences and a B-average, then you can exempt your final.
Hypothesis:
Conclusion:
EXAMPLE 2 Rewrite the statement below as a conditional
statement, then state the hypothesis and conclusion.
A car with poor brakes is a menace on the highway.
Conditional:
Hypothesis:
Conclusion:
EXAMPLE 3 Rewrite the statement below as a conditional
statement, then state the hypothesis and conclusion.
Mrs. Ellison gives her students homework on days that end in ‘y’.
Conditional:
Hypothesis:
Conclusion:
|TERM: |DEFINITION: |
|Converse |Formed by switching the hypothesis and conclusion of a conditional |
EXAMPLE 4 State the converse of the conditional statement in
EXAMPLE 1.
Converse:
EXAMPLE 5 Write the converse of the conditional statement
below, then tell whether its TRUE or FALSE.
If an angle has a measure of 120(, then it is an obtuse angle.
Converse:
TRUE or FALSE?
|TERM: |DEFINITION: |
|Counterexample |An example that follows the hypothesis, but not the conclusion. |
EXAMPLE 6 Give a counterexample for the converse statement in
EXAMPLE 5.
Counterexample:
8-2 Assignment Name__________________________
Period _________________
1. Wearing a coat will keep you warm.
Conditional:
Hypothesis:
Conclusion:
2. Everytime you practice you gain more skill.
Conditional:
Hypothesis:
Conclusion:
3. You go to jail when you drink and drive
Conditional:
Hypothesis:
Conclusion:
4. Alternating interior angles are always congruent.
Conditional:
Hypothesis:
Conclusion:
................
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