Parallel Lines

Parallel lines are two or more lines that are always the same distance apart and never intersect. In other words, they have the same slope and will never meet. When two lines are parallel, they have the same angle measurements and will never converge.

Characteristics of Parallel Lines

• Always have the same slope
• Never intersect
• Have the same angle measurements
• Are always the same distance apart

Symbol for Parallel Lines

The symbol for parallel lines is ∥. For example, if line AB is parallel to line CD, it is written as AB ∥ CD.

Examples of Parallel Lines

Examples of parallel lines can be found in everyday objects, such as the sides of a rectangular picture frame, railroad tracks, and the edges of a book.

Parallel Lines Theorem

The Parallel Lines Theorem states that if a transversal intersects two parallel lines, then the corresponding angles are congruent (i.e., they have the same measure).

Study Guide

Here are some key points to remember when studying parallel lines:

• Parallel lines always have the same slope.
• They never intersect.
• They have the same angle measurements.
• Remember the symbol for parallel lines (∥).
• Understand the Parallel Lines Theorem and how it applies to corresponding angles.

Knowing and understanding these characteristics and theorems will help you identify and work with parallel lines in geometry problems.

Practice identifying and working with parallel lines in various geometric figures and real-world examples to strengthen your understanding of this concept.