Here are the correct responses based on the questions given:
**Question 1: Define Parallel Lines**
- **Correct Response:** Two lines that will never intersect and that are the same distance apart because their slopes are equal.
**Question 2: Define Perpendicular Lines**
- **Correct Response:** Two lines that intersect to form a 90 degree angle.
**Question 3: What is a definition?**
- **Correct Response:** A statement that explains the meaning of a term or a concept.
**Question 4: What is an undefined term?**
- **Correct Response:** A term that does not need to be explained because it is explained using examples and descriptions.
**Question 5: How many of the combinations below will make triangles according to the triangle inequality theorem?**
To determine which combinations will form triangles, we apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
1. **3, 10, 11:**
3 + 10 > 11 (False)
3 + 11 > 10 (True)
10 + 11 > 3 (True)
**Not a triangle.**
2. **3, 8, 11:**
3 + 8 > 11 (False)
3 + 11 > 8 (True)
8 + 11 > 3 (True)
**Not a triangle.**
3. **3, 8, 10:**
3 + 8 > 10 (False)
3 + 10 > 8 (True)
8 + 10 > 3 (True)
**Not a triangle.**
4. **8, 10, 11:**
8 + 10 > 11 (True)
8 + 11 > 10 (True)
10 + 11 > 8 (True)
**This combination does make a triangle.**
**Answer for Question 5:**
- **Correct Response:** 8, 10, and 11.
In summary:
1. Two lines that will never intersect and that are the same distance apart because their slopes are equal.
2. Two lines that intersect to form a 90 degree angle.
3. A statement that explains the meaning of a term or a concept.
4. A term that does not need to be explained because it is explained using examples and descriptions.
5. **8, 10, 11** is the only combination that will make a triangle.