Converse, Inverse and Contrapositive
Converse, Inverse and Contrapositive
Rewrite the conditional statement in if-then form.
1. An object weighs one ton if it weighs 2000 pounds.
2. An object weighs 16 ounces if it weighs one pound.
3. Blue trunkfish live in the waters of a coral pond.
4. Hagfish live in salt water.
5. It must be true if you read it in the newspaper.
6. An apple a day keeps the doctor away.
Write the converse of the statement.
7. If [pic]1 measures 123°, then [pic]1 is obtuse.
8. If [pic]2 measures 38°, then [pic]2 is acute.
9. I will go to the mall if it is not raining.
10. I will go to the movies if it is raining.
Write the inverse, converse, and contrapositive of the conditional statement. Tell if each is true or false (give counterexample).
11. If x = 12, then x2 = 144.
Inverse:
Converse:
Contrapositive:
12. If a figure is a square, then all of its angles are right angles.
Inverse:
Converse:
Contrapositive:
13. If a figure is a rectangle, then it has four sides.
Inverse:
Converse:
Contrapositive:
Write the converse of the true statement. Decide whether the converse is true or false. If false, provide a counterexample.
15. If 2x – 5 = 7, then x = 6.
16. If a number is odd, then it is divisible by three.
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