Analyzing Geometric Line Relationships: Intersecting vs. Non-Parallel Lines

Line Classification with Intersection Analysis

What can be said about the lines shown below?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 What can be said about the lines?
00:03 The lines intersect at a certain point
00:12 The lines are not parallel because they intersect
00:16 The lines are not perpendicular because the angle they create is less than 90
00:32 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

What can be said about the lines shown below?

2

Step-by-step solution

Let's remember the different properties of lines.

The lines are not parallel since they intersect.

The lines are not perpendicular since they do not form a right angle of 90 degrees between them.

Therefore, no answer is correct.

3

Final Answer

None of the above.

Key Points to Remember

Essential concepts to master this topic
  • Parallel Lines: Never intersect and maintain constant distance
  • Perpendicular Test: Check if intersecting lines form exactly 90° angles
  • Verification: Examine visual evidence carefully - do lines meet at right angles? ✓

Common Mistakes

Avoid these frequent errors
  • Assuming all intersecting lines are perpendicular
    Don't assume intersecting lines form right angles = wrong classification! Just because two lines cross doesn't mean they're perpendicular - they must form exactly 90° angles. Always check the specific angle measurement or visual indicators.

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

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

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Parallel lines never meet - they stay the same distance apart forever. If you can see the lines crossing or touching anywhere, they're definitely not parallel!

What makes lines perpendicular instead of just intersecting?

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Perpendicular lines form right angles (90°) where they meet. Regular intersecting lines can meet at any angle - only when it's exactly 90° are they perpendicular.

Can I tell the angle just from the diagram?

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Look for visual clues like square corner symbols (⊥) or equal spacing. But remember - unless marked, you can't assume the angle is exactly 90° just from appearance!

What if the lines don't look like they intersect?

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Sometimes lines might intersect outside the visible area of the diagram. If they're not parallel, they will eventually meet somewhere when extended far enough.

Why is 'none of the above' sometimes the right answer?

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When lines are simply intersecting (but not perpendicular) or skew in 3D space, none of the standard categories apply. Always consider this option carefully!

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