Questions and Answers
What does the Perpendicular Lines Theorem state?
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.
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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.
