# What Does Perpendicular Mean in Math?

Perpendicular lines are lines that intersect each other at a right (90degress) angle.

## What are** Perpendicular lines?**

Two different lines intersecting each other at 90°, or a right angle, are called perpendicular lines.

**For example:**

Here, PQ is perpendicular to XY because PQ and XY intersect each other at 90

**Perpendicular Symbol?**

Perpendicular lines are denoted by the symbol ‘⊥’. Suppose, **P** and **Q** are two lines intersecting each other at a right angle (90 degrees), then they are perpendicular to each other and are denoted by as P⊥ Q. The point of intersection of perpendicular lines is called the foot of intersection.

**Difference between Parallel Lines and Perpendicular Lines.**

Parallel lines | Perpendicular lines |

Parallel lines are lines that are the same distance apart. Parallel lines do not intersect each other. | Perpendicular lines are lines that intersect each other at a 90° angle |

The symbol used to denote by a parallel line is “||” | The symbol used to denote by a perpendicular line is “⊥”. |

**Perpendicular Lines Construction of**

We can draw perpendicular lines for a given line in two method

- Using a protractor
- Using a compass

**Using a protractor draw a perpendicular line**

Step 1: Let P be the given line and A the given point on it.

Step 2: Place the protractor on the line m such that its baseline coincides with P, and its center falls on A.

Step 3: Mark a point B against the right angle (90 degrees) mark on the protractor.

Step 4: Draw a line Q passing through A and B.

Then line P⊥Q line n at A.

**Using a compass drawing a perpendicular line**

Steps 1: let L be the given line and p be a point on it

Step 2: with center p and any radius, draw a semicircle to intersect line L at A and B

Step 3 with B as a Centre and any radius more than PB, draw an arc.

Step4: with A as the Centre and the same radius, draw another arc, cutting the previous draw arc at Q.

Step 4: Join PQ

Then PQ is perpendicular to line L.

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