Direction: Write each conditional statement in a converse, inverse and contrapositive format. Answer this in a yellow pad.
1. If you attend classes regularly, then you learn a lot.
Converse: ____________________________________________
Inverse: ______________________________________________
Contrapositive: ________________________________________
2. If the air is polluted, then the plants will die.
Converse: ____________________________________________
Inverse: ______________________________________________
Contrapositive: ________________________________________
3. IF it is a leap year, then February has 29 days.
Converse: ____________________________________________
Inverse: ______________________________________________
Contrapositive: ________________________________________
4. If a figure is quadrilateral, then it is a polygon.
Converse: ____________________________________________
Inverse: ______________________________________________
Contrapositive: ________________________________________
5. If a number is an integer, then it is rational.
Converse: ____________________________________________
Inverse: ______________________________________________
Contrapositive: ________________________________________
Answers
Given : conditional statement
To Find : Write each conditional statement in a converse, inverse and contrapositive format.
Solution :
Contrapositive. Switching the hypothesis and conclusion of a conditional statement and negating both
inverse - Negating both statements
Converse - reversal of both statements
If you attend classes regularly, then you learn a lot.
Converse : if you learn a lot. then you attend classes regularly
inverse - If you do not attend classes regularly, then you do not learn a lot.
Contrapositive : If yo do not learn a lot then you do not attend class regularly
If the air is polluted, then the plants will die.
Converse: If the plant will die then air is polluted
Inverse: If air is not polluted then the plants will not die.
Contrapositive: If the plant will not die then air is not polluted
. IF it is a leap year, then February has 29 days.
Converse: If February has 29 days. then its a leap year
Inverse: . IF it is not a leap year, then February does not have 29 days.
Contrapositive: If February does not have 29 days. then its is not aa leap year
If a figure is quadrilateral, then it is a polygon.
Converse: If figure is a polygon then it is Quadrilateral
Inverse: If a figure is not quadrilateral, then it is not a polygon.
Contrapositive :If figure is not a polygon then it is not Quadrilateral
. If a number is an integer, then it is rational.
Converse: If number is rational then it is an integer
Inverse: . If a number is not an integer, then it is not rational.
Contrapositive: If number is not rational then it is not an integer
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