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write the converse inverse and contapositive of each conditional statement

1. If it is Saturday,then school is closed.

Converse:
Inverse:
Contrapositive:

2.If you live in Pandi,then you are Bulakeno

Converse:
Inverse:
Contrapositive:

3.If two angles form a linear pair,then they are suplementary

Converse:
Inverse:
Contrapositive:​


Sagot :

Answer:

1. converse: If school is closed, then it is Saturday.

   inverse: If it is not saturday, then school is not closed.

   contrapositive: If the school is not closed, then it is not Saturday.

2. converse: If you are Bulakeno, then you live in Pandi.

   inverse: If you don't live in Pandi, then you are not Bulakeno.

   contrapositive: If you are not Bulakeno, then you don't live in Pandi.

3. converse: If they are supplementary, then two angles form a linear pair.

   inverse: If two angles don't form a linear pair, then they are not    supplementary.

   contrapositive: If they are not supplementary, then two angles don't form a linear pair.

Step-by-step explanation:

p - if statement

q - then statement

p-q conditional statement (it is read as p is to q)

q-p converse statement (interchange the conditional statement p-q)

~p- ~q inverse statement (negate the conditional statement p-q using "not")

~q- ~p contrapositive statement ( negate the converse statement)