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If two lines do not meet even when produ...

If two lines do not meet even when produced, they are called parallel lines.

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To determine whether the statement "If two lines do not meet even when produced, they are called parallel lines" is true or false, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Lines**: Begin by defining what a line is. A line extends infinitely in both directions. **Hint**: Remember that a line has no endpoints and goes on forever. 2. **Drawing Two Lines**: Draw two lines on a sheet of paper. Label them as Line L1 and Line L2. **Hint**: Use a ruler to ensure your lines are straight. 3. **Producing the Lines**: Extend both lines in both directions. This means you will draw arrows at both ends of each line to indicate that they continue infinitely. **Hint**: Make sure the arrows are clear to show that the lines are produced indefinitely. 4. **Checking for Intersection**: Observe whether the two lines intersect at any point. If they do not meet at any point, even when extended, they are parallel. **Hint**: Look closely at the lines; if they never cross, they are parallel. 5. **Conclusion**: Based on your observation, if the two lines do not intersect regardless of how far you extend them, you can conclude that the statement is true. **Hint**: Remember, parallel lines are defined by their inability to meet, no matter how far they are extended. ### Final Statement: The statement "If two lines do not meet even when produced, they are called parallel lines" is **true**.
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