Math Problem Statement

Which picture shows perpendicular lines?

Solution

The image presents four sets of lines (labeled A, B, C, and D) and asks which picture shows perpendicular lines.

Perpendicular lines are two lines that intersect at a right angle (90°).

In the provided options:

  • A: Shows two lines intersecting, but not at a right angle.
  • B: Shows two lines that are parallel, as they never meet.
  • C: Shows two lines that intersect but at an angle less than 90°.
  • D: Shows two lines that intersect at a perfect 90° angle.

Answer: D is the correct choice, as it shows perpendicular lines.

Would you like more details on perpendicular and parallel lines?

Here are 5 related questions to expand this topic:

  1. What is the geometric definition of perpendicular lines?
  2. How do you find if two lines are perpendicular using their slopes?
  3. Can two lines be perpendicular if they lie on different planes?
  4. What is the difference between perpendicular and intersecting lines?
  5. Can perpendicular lines be found in non-Euclidean geometry?

Tip: In coordinate geometry, two lines are perpendicular if the product of their slopes is -1.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perpendicular Lines
Parallel Lines

Formulas

-

Theorems

Theorem of Perpendicular Lines

Suitable Grade Level

Grades 4-6