Theorems About Perpendicular Lines Flashcards
3 Questions
100 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What does the Perpendicular Lines Theorem state?

  • If two lines intersect to form a linear pair of congruent angles, then the lines are parallel.
  • If two lines are perpendicular, then they form two right angles. (correct)
  • If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. (correct)
  • If two lines are perpendicular, then they form two acute angles.
  • What is the Perpendicular Transversal Theorem?

    If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.

    If two lines are perpendicular to the same line, then they must be parallel.

    True

    Study Notes

    Perpendicular Lines Theorems

    • Perpendicular Lines Theorem: Two lines intersecting to form a linear pair of congruent angles indicate that the lines are perpendicular.
    • Perpendicular lines create two right angles at the point of intersection.
    • When the sides of two adjacent acute angles are perpendicular, the angles are complementary, summing to 90 degrees.

    Perpendicular Transversal Theorem

    • If a transversal intersects one of two parallel lines perpendicularly, it is also perpendicular to the other parallel line.

    Lines Perpendicular to a Transversal

    • In a plane, if two lines are both perpendicular to the same line, they must be parallel to each other.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    Test your knowledge on the theorems regarding perpendicular lines with these flashcards. Each card presents a theorem along with its definition, helping you to understand key concepts in geometry. Perfect for studying for exams or reinforcing your learning.

    More Like This

    Use Quizgecko on...
    Browser
    Browser