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Let's analyze the given conditional statement and match the correct versions of the sentence (conditional, converse, inverse, and contrapositive).

### Original Conditional Statement:
- **If you live in Minnesota, then you live in Cottage Grove (55016).**

Now let's break down the variations:

1. **Converse**: Swap the hypothesis and conclusion.
   - **If you live in Cottage Grove (55016), then you live in Minnesota.**
   
2. **Inverse**: Negate both the hypothesis and conclusion.
   - **If you do not live in Minnesota, then you do not live in Cottage Grove (55016).**
   
3. **Contrapositive**: Swap the hypothesis and conclusion *and* negate both.
   - **If you do not live in Cottage Grove (55016), then you don’t live in Minnesota.**

Now we match them to the sentences provided:
- **Conditional**: "If you live in Minnesota, then you live in Cottage Grove (55016)." 
- **Converse**: "If you live in Cottage Grove (55016), then you live in Minnesota."
- **Inverse**: "If you do not live in Minnesota, then you do not live in Cottage Grove (55016)."
- **Contrapositive**: "If you do not live in Cottage Grove (55016), then you don’t live in Minnesota."

### Correct Mapping:
- **Conditional** → "If you live in Minnesota, then you live in Cottage Grove (55016)."
- **Converse** → "If you live in Cottage Grove (55016), then you live in Minnesota."
- **Inverse** → "If you do not live in Minnesota, then you do not live in Cottage Grove (55016)."
- **Contrapositive** → "If you do not live in Cottage Grove (55016), then you don’t live in Minnesota."

Would you like more details or explanations on these concepts? Here are some related questions:

1. What is the significance of the contrapositive being logically equivalent to the conditional?
2. How can we use the inverse to disprove a statement?
3. What are other examples of converse statements in geometric reasoning?
4. How does changing the wording of a statement help in logical deduction?
5. Why does the truth value of a converse differ from the original conditional?

**Tip:** Remember, the contrapositive of any conditional statement is always logically equivalent to the original conditional.

Use the conditional statement below to match the conditional, converse, inverse, and contrapositive to its proper sentence.
If you live in Minnesota, then you live in Cottage Grove (55016).

This problem involves matching a conditional statement with its corresponding converse, inverse, and contrapositive forms. The key concepts include logical reasoning and understanding the relationships between these types of statements. Suitable for students in Grades 7-10.

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