To illustrates the equivalence of: (a) statement and its contrapositive and (b) the converse and inverse of a statement write the if-then form, contrapositive, inverse, and converse of the given statement.
1. I will go to the game if I get all of my hhomework done
If-then form:
Contrapositive:
Converse:
Inverse:
2. An isosceles triangle has two congruent sides.
If-then form:
Contrapositive:
Converse:
Inverse:
3. A pencil writes well it is sharp.
if-then form:
Contrapositive:
Converse:
Inverse:
Answers
1.If-then form: If I get all of my homework done, then I will go to the game
Contrapositive: If I will not go to the game,then I will not get all of my homework done
Converse: If I will go to the game, then I get all my homewrk done
Inverse:If I will not get all my homework done then I will not go to the game
2.If-then form:If it is an isosceles triangle , then it has two congruent sides.
Contrapositive:If it dont have two congruent sides then it's not an isosceles triangle
Converse: If it has two congruent sides,then it's an isosceles triangle
Inverse:if it's not an isosceles triangle then it dont have two congruent sides
3.If-then form: if it is sharp, then the pencil writes well
Contrapositive:if A pencil dont writes well then it is not sharp.
Converse:if A pencil writes well then it is sharp.
Inverse:if it is not sharp,then A pencil dont writes well
Answer:
1.If-then form: If I get all of my homework done, then I will go to the game
Contrapositive: If I will not go to the game,then I will not get all of my homework done
Converse: If I will go to the game, then I get all my homewrk done
Inverse:If I will not get all my homework done then I will not go to the game
2.If-then form:If it is an isosceles triangle , then it has two congruent sides.
Contrapositive:If it dont have two congruent sides then it's not an isosceles triangle
Converse: If it has two congruent sides,then it's an isosceles triangle
Inverse:if it's not an isosceles triangle then it dont have two congruent sides
3.If-then form: if it is sharp, then the pencil writes well
Contrapositive:if A pencil dont writes well then it is not sharp.
Converse:if A pencil writes well then it is sharp.
Inverse:if it is not sharp,then A pencil dont writes well