Theorems Related to Intersecting Lines
Some theorems which are related to the intersecting lines are:
- Vertical Angle Theorem
- Alternate Interior Angles Theorem
Let’s discuss the statement of these theorems.
Vertical Angles Theorem
Vertical Angles Theorem states that when two lines intersect, the vertical (opposite) angles are always equal (congruent) to each other.
Note: When two lines intersect, they form four angles. Among these, there are two pairs of nonadjacent angles known as vertical angles.
Alternate Interior Angles Theorem
When a transversal intersects two parallel lines, it creates several angles. Among these, the alternate interior angles are the ones formed on the opposite sides of the transversal but inside the parallel lines.
According to alternate interior angle theorem,
If a transversal crosses a set of parallel lines, the alternate interior angles are congruent.
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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