142k views
3 votes
If the conclusion of the conditional statement is "a dog is friendly," what can you say about the converse statement?

The conclusion of the converse is "a dog is friendly."


The hypothesis of the converse is "a dog is not friendly."


The conclusion of the converse is "a dog is not friendly."


The hypothesis of the converse is "a dog is friendly."

User Pumpkin
by
7.9k points

2 Answers

4 votes

Final answer:

The hypothesis of the converse statement to "If [hypothesis], then a dog is friendly" is "a dog is friendly." Switching the hypothesis and conclusion of the original statement formulates the converse.

Step-by-step explanation:

If the conclusion of a conditional statement is "a dog is friendly," then when forming the converse statement, the hypothesis and conclusion are switched. Therefore, the hypothesis of the converse is "a dog is friendly." It is important to understand that just because the original statement may hold true, this does not necessarily imply that the converse statement is also true. The logical structure of conditional reasoning requires careful consideration to avoid fallacies such as affirming the consequent or denying the antecedent.

User Aylon
by
8.5k points
5 votes

Answer: The hypothesis of the converse is "a dog is friendly."

Step-by-step explanation: If the conclusion of the conditional statement is "a dog is friendly," then in its converse statement, "a dog is friendly" will be its hypothesis since the conclusion becomes the hypothesis.

User Ernestas Gruodis
by
7.6k points