# Are two lines perpendicular?

Category:
science
space and astronomy

If

**two**non-vertical**lines**in the same plane intersect at a right angle then they are said to be**perpendicular**. Horizontal and vertical**lines**are**perpendicular**to each other i.e. the axes of the coordinate plane. The slopes of**two perpendicular lines**are negative reciprocals.

Keeping this in consideration, are the two lines parallel perpendicular or neither?

The slopes are not the same or negative reciprocals of each other, so the **lines** are **neither parallel** nor **perpendicular**.

**perpendicular**theorem states

**that when**two straight

**lines**intersect at a point and form a linear pair of equal angles, they are

**perpendicular**. A linear pair of angles is such

**that**the sum of angles is 180 degrees. As the angles measure 90 degrees, the

**lines are**proved to be

**perpendicular**to each other.

In this manner, are these lines perpendicular?

Put this together with **the** sign change, and you get that **the** slope of a **perpendicular line is the** "negative reciprocal" of **the** slope of **the** original **line** — and two **lines** with slopes that are negative reciprocals of each other are **perpendicular** to each other.

**Perpendicular** - Definition with **Examples** Two distinct lines intersecting each other at 90° or a right angle are called **perpendicular** lines. **Example**: Here, AB is **perpendicular** to XY because AB and XY intersect each other at 90°. Non-**Example**: The two lines are parallel and do not intersect each other.