Properties of Intersecting Lines
Some common properties of Intersecting lines are:
- Intersecting Lines share a common point called the point of intersection.
- They create four angles at the point of intersection.
- Two pair of opposite angles or two pair of adjacent angles
- Intersecting lines can meet at any angle, from 0° to 180°, and they can only meet at one common point.
- No two straight lines can meet at more than one point.
- When two lines intersect each other, they form a pair of vertical angles that share a common vertex or the point of intersection and are faced opposite to each other. The vertical angles are always equal to each other.
Mathematical Representation of Intersecting Lines
For a1x + b1y = c1 and a2x + b2x = c2, then graph of both lines will intersect at one point i.e., point of intersection iff
a1/a2 ≠ b1/b2
Note: If a1/a2 = b1/b2, then we can check c1/c2 to verify further that lines are parallel or coincident.
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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