Parallel Lines Test: Analyzing Different-Length Line Segments

Parallel Lines with Different Lengths

The lines below are not the same size, but are they parallel?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Are the lines parallel?
00:03 Parallel lines never intersect
00:06 Our lines never intersect therefore they are parallel
00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The lines below are not the same size, but are they parallel?

2

Step-by-step solution

Remember the properties of parallel lines.

Since there is no connection between the size of the line and parallelism, the lines are indeed parallel.

3

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic
  • Rule: Line length has no effect on parallelism
  • Technique: Check if lines have the same direction/slope
  • Check: Parallel lines never intersect no matter how far extended ✓

Common Mistakes

Avoid these frequent errors
  • Assuming different lengths mean non-parallel
    Don't think shorter and longer lines cannot be parallel = wrong conclusion! Length is completely unrelated to direction. Always focus on whether lines have the same slope and never intersect.

Practice Quiz

Test your knowledge with interactive questions

The lines below are not the same size, but are they parallel?

FAQ

Everything you need to know about this question

Can lines of different lengths still be parallel?

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Absolutely yes! Parallel lines can be any length - short, long, or different from each other. What matters is that they point in the same direction and never meet.

What makes lines parallel then?

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Lines are parallel when they have the same slope (direction) and are equidistant apart. Think of railroad tracks - they can be cut to different lengths but remain parallel!

How can I tell if lines are parallel just by looking?

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Look for lines that seem to go in the same direction and maintain the same distance apart. If you extended them infinitely, they would never intersect.

Do parallel lines have to be the same size?

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No! Size and length are completely separate from parallelism. You can have a 1-inch parallel line next to a 10-foot parallel line - they're still parallel if they point the same way.

What's the difference between parallel and equal lines?

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Equal lines are identical in length and position. Parallel lines just need the same direction - they can be different lengths, in different positions, but never intersect.

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