Parallel and Perpendicular Lines Parallel lines are two lines that have the same distance and do not intersect. They are drawn in the same direction and...
Parallel lines are two lines that have the same distance and do not intersect. They are drawn in the same direction and are separated by a constant distance.
Perpendicular lines are two lines that intersect at right angles. They are perpendicular because the angles formed by the lines are equal.
Here are some examples:
Parallel lines: Lines passing through points A(2, 4) and B(6, 10) are parallel.
Perpendicular lines: Lines passing through points C(3, 7) and D(9, 1) are perpendicular.
Parallel lines: Lines passing through points E(4, 3) and F(6, 9) are parallel.
Perpendicular lines: Lines passing through points G(2, 7) and H(8, 5) are perpendicular.
Key differences:
| Feature | Parallel Lines | Perpendicular Lines |
|---|---|---|
| Distance | Same distance | Equal distance |
| Intersection | Do not intersect | Intersect at right angles |
| Angle measures | Equal angles (if not on the same line) | Equal angles (if on the same line) |
By understanding these properties, we can identify and analyze parallel and perpendicular lines in various geometric contexts