Theorem 6.6 : Lines which are parallel to the same line are parallel to each other.
Text Solution
AI Generated Solution
To prove Theorem 6.6: "Lines which are parallel to the same line are parallel to each other," we will follow these steps:
### Step-by-Step Solution:
1. **Draw the Lines**:
- Draw three lines: let’s call them line \( l \), line \( m \), and line \( n \).
- Draw a transversal line \( t \) that intersects all three lines.
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