Identifying Perpendicular Lines: 90-Degree Angle Recognition in Geometric Figures

Perpendicular Lines with Right Angle Identification

Which figure shows perpendicular lines?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Which lines are perpendicular?
00:02 Perpendicular lines create a right angle at their intersection point
00:05 In this example, the angle is not right
00:08 In this example, the lines form a right angle, therefore they are perpendicular
00:11 In this example, the angle is not right
00:14 And in this one too
00:17 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Which figure shows perpendicular lines?

2

Step-by-step solution

Perpendicular lines are lines that form a right angle between them.

In the drawings A+C+D, you can see that the angles formed are not right angles.

It is possible to point out a right angle in drawing B.

3

Final Answer

Key Points to Remember

Essential concepts to master this topic
  • Definition: Perpendicular lines intersect to form exactly 90-degree right angles
  • Recognition: Look for square corner symbol or perfect L-shape formation
  • Verification: Check that intersection forms four equal 90° angles ✓

Common Mistakes

Avoid these frequent errors
  • Confusing any intersecting lines as perpendicular
    Don't assume all crossing lines are perpendicular = wrong identification! Lines can intersect at many different angles (30°, 45°, 60°, etc.). Always check that the angle formed is exactly 90° - it should look like a perfect square corner.

Practice Quiz

Test your knowledge with interactive questions

What do the four figures below have in common?

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FAQ

Everything you need to know about this question

How can I tell if lines are really perpendicular without measuring?

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Look for the square corner symbol (small square) at the intersection point, or check if the lines form a perfect L-shape. The angle should look exactly like the corner of a book or paper.

What's the difference between intersecting and perpendicular lines?

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All perpendicular lines intersect, but not all intersecting lines are perpendicular! Intersecting just means they cross each other. Perpendicular means they cross at exactly 90 degrees.

Can perpendicular lines be diagonal?

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Yes! Perpendicular lines don't have to be horizontal and vertical. They just need to meet at a right angle. Think of an X rotated 45° - still perpendicular!

Why does option B show perpendicular lines?

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In option B, you can see one line is perfectly vertical and the other is perfectly horizontal. When vertical and horizontal lines meet, they always form 90° angles.

What if the lines don't look exactly square?

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Sometimes drawings aren't perfect, but look for the closest to 90° angle. In math problems, there's usually a clear difference between right angles and other angles like 45° or 60°.

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