Question

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:
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Answer 1

Answer:

you should offer more points for long questions

Answer 2

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1. I will go to the game If I get all my homework done.

• if - the form :- if I get all 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.An isosceles triangle has two congruent sides.

• 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.A pencil writes well it is sharp.

• 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