Parallel and Intersecting Lines
Parallel and intersecting lines are two distinct types of lines in geometry. Parallel lines never intersect with each other, while intersecting lines meet at a common point.
Some other differences between parallel and intersecting lines include:
| Aspect | Parallel Lines | Intersecting Lines |
|---|---|---|
| Definition | Two or more lines that are equidistant from each other and never intersect. | Lines that meet or intersect at a common point. |
| Examples | Railway tracks, notebook lines, zebra crossings. | Crossing roads, intersecting lines on graphs. |
| Properties |
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| Formula | If two line equations are y = mx + c1 and y = mx + c2, then as both lines have same slope. Thus, both are parallel. | For a1x + b1y = c1 and a2x + b2x = c2, If a1/a2 ≠ b1/b2, then both lines have one point of intersection. |
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Intersecting Lines
Intersecting Lines are those lines which interact with each other at one point forming an intersection point. Also, at the point of intersection of two lines, 4 angles are formed. These angles form pairs of equal angles i.e. Vertical Opposite Angles. In this article, we will discuss Intersecting lines in detail.
Table of Content
- What are Intersecting Lines?
- Examples of Intersecting Lines
- Properties of Intersecting Lines
- Types of Intersecting Lines
- Intersection of Three Lines
- Theorems Related to Intersecting Lines
- Non-Intersecting Lines
- Properties of Non-Intersecting Lines
- Parallel and Intersecting Lines
- FAQs
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