Parallel Lines

Parallel lines are lines in a plane that never meet or intersect. They have the same slope and will never converge, no matter how far they are extended. When two lines are parallel, they are always the same distance apart and will never cross each other.

Properties of Parallel Lines

1. Equal slopes: Parallel lines have the same slope. If the slope of one line is m, then the slope of any parallel line will also be m.
2. Never intersect: Parallel lines will never cross each other, no matter how far they are extended.
3. Equal distance: Parallel lines are always the same distance apart at every point.

Symbol for Parallel Lines

The symbol for parallel lines is "||". For example, if line l is parallel to line m, it is written as l || m.

Identifying Parallel Lines

To identify if two lines are parallel, you can check their slopes. If the slopes are equal, then the lines are parallel.

Study Guide

Here are some key points to remember about parallel lines:

• Parallel lines have the same slope.
• They never intersect.
• Parallel lines are always the same distance apart.
• The symbol for parallel lines is "||".
• To identify parallel lines, check if their slopes are equal.

It's important to practice identifying and working with parallel lines to become more familiar with their properties and characteristics.