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Let's go through the worksheet and identify the type of each triangle based on the given sides and angles. Here's how they can be classified:

1. **Triangle 1 (a ≠ b)**: 
   - **Type**: **Scalene Triangle** (no sides are equal).

2. **Triangle 2 (s = s = s)**:
   - **Type**: **Equilateral Triangle** (all sides are equal).

3. **Triangle 3 (a ≠ b ≠ c)**:
   - **Type**: **Scalene Triangle** (all sides are different).

4. **Triangle 4 (a ≠ c, right angle present)**:
   - **Type**: **Right Triangle** (one angle is 90 degrees).

5. **Triangle 5 (a ≠ b ≠ c)**:
   - **Type**: **Scalene Triangle** (all sides are different).

6. **Triangle 6 (b = b)**:
   - **Type**: **Isosceles Triangle** (two sides are equal).

7. **Triangle 7 (s = s = s)**:
   - **Type**: **Equilateral Triangle** (all sides are equal).

8. **Triangle 8 (b ≠ a, b ≠ c)**:
   - **Type**: **Scalene Triangle** (all sides are different).

9. **Triangle 9 (b ≠ a, right angle present)**:
   - **Type**: **Right Triangle** (one angle is 90 degrees).

10. **Triangle 10 (b = b)**:
   - **Type**: **Isosceles Triangle** (two sides are equal).

11. **Triangle 11 (a ≠ b, right angle present)**:
   - **Type**: **Right Triangle** (one angle is 90 degrees).

12. **Triangle 12 (b ≠ a, right angle present)**:
   - **Type**: **Right Triangle** (one angle is 90 degrees).

Would you like further details on any of these classifications?

Here are five related questions to expand your understanding:
1. What are the specific properties of equilateral triangles?
2. How do isosceles triangles differ from scalene triangles in terms of angles?
3. What theorems apply to right triangles?
4. Can a scalene triangle also be a right triangle?
5. How do the angle properties of an equilateral triangle influence its internal angles?

**Tip:** Remember, in equilateral triangles, all angles are always 60 degrees.

Identify the type for each triangle based on their side lengths and angles.

This worksheet helps students in Grades 6-8 classify triangles by identifying types such as scalene, isosceles, equilateral, and right triangles based on side lengths and angles. Concepts covered include the Pythagorean Theorem and triangle properties.

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