Line Segment Analysis: Identifying Common Properties in 4 Geometric Figures

Parallel Lines with Visual Geometric Recognition

What do the four figures below have in common?

1234

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 What do all these drawings have in common?
00:06 That's right! Parallel lines never cross each other.
00:11 In this example, the lines don't intersect, so they're parallel.
00:16 Look at this drawing. The lines here are parallel too.
00:25 And here, the lines are also not meeting. They're parallel.
00:33 And in this last one, the lines are still parallel.
00:37 So, all these lines are parallel. That's your answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What do the four figures below have in common?

1234

2

Step-by-step solution

Let's think about the different definitions of different lines.

Let's remember that parallel lines are lines that will never intersect with each other.

We can see that what's common to all the lines in the drawings is that if we extend them, we won't be able to find an intersection point, meaning they will never meet.

Therefore, the correct answer is b.

3

Final Answer

All parallel

Key Points to Remember

Essential concepts to master this topic
  • Definition: Parallel lines never intersect, even when extended infinitely
  • Technique: Check if lines have same direction and never meet
  • Check: Extend lines mentally - no intersection point means parallel ✓

Common Mistakes

Avoid these frequent errors
  • Confusing parallel with perpendicular lines
    Don't assume lines that look straight are perpendicular = wrong classification! Perpendicular lines meet at 90° angles, while these lines never meet at all. Always check if lines would intersect when extended infinitely.

Practice Quiz

Test your knowledge with interactive questions

Which of the diagrams contain parallel lines?

AB

FAQ

Everything you need to know about this question

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

+

Look for lines that point in the same direction and maintain the same distance apart. If you imagine extending them forever, they would never cross each other.

What's the difference between parallel and perpendicular lines?

+

Parallel lines never meet and run in the same direction. Perpendicular lines cross each other at exactly 90° angles, forming perfect squares at their intersection.

Can parallel lines be at different angles?

+

Yes! Parallel lines can be horizontal, vertical, or slanted at any angle. The key is that they maintain the same angle and never intersect.

What if the lines look like they might meet far away?

+

If lines are truly parallel, they will never meet no matter how far you extend them. If they appear to meet in the distance, they're actually not parallel.

How do I identify parallel lines in complex figures?

+

Focus on one pair at a time. Use a ruler or your finger to trace each line's direction. Lines going the same way with consistent spacing are parallel.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Parallel and Perpendicular Lines questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations