Math Problem Statement

Which set of lines is perpendicular?

Solution

In the images you uploaded, the question is asking which set of lines are perpendicular.

In the geometric diagram, perpendicular lines form a right angle (90 degrees). By observing the marked right angles in the image:

  • Line ABAB is perpendicular to line BCBC because they intersect at point BB and form a right angle.

Looking at the answer choices:

  • The correct choice is "BC and AB," which is the third option.

Would you like more details on perpendicular lines or further clarifications?

Here are 5 related questions to deepen your understanding:

  1. What are the conditions for two lines to be perpendicular?
  2. How can you determine if two lines are perpendicular in coordinate geometry?
  3. What is the difference between perpendicular and parallel lines?
  4. How can perpendicularity be represented in vector mathematics?
  5. What are the real-life applications of perpendicular lines in design or architecture?

Tip: When working with diagrams, always look for the 90-degree angle symbol to quickly identify perpendicular lines.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perpendicular Lines
Parallel Lines

Formulas

Perpendicular lines form a 90-degree angle.

Theorems

Perpendicularity theorem: Two lines are perpendicular if they intersect to form right angles.

Suitable Grade Level

Grades 6-8