Arithmetic
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Algebraic Equation
Algebraic Expression
Cartesian System
Linear Equations
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Home >> Define Line, Line Segment and Rays >> Distance of line from a point >>

## Distance of line from a point

 Intersecting Lines Parallel Lines Transversal Line Congruent Line Segments Construction of Parallel Line Distance of line from a point

Before you understand distance of line from a point, you are advised to read

What is a Line ?
What is a Perpendicular ?

Observe the following diagram which have a line XY and a point Z.

Now, from point Z if you want to go to line XY, you can choose any of the below shown path:

Now you can notice there are several paths to reach line XY i.e. ZA, ZB, ZC, ZD, ZE and ZF
But which path you would choose to reach line XY ?
Of course, you would like to choose the shortest path.
This shortest path is ZD and ZD is also perpendicular to XY & we get:
The length of perpendicular from a point to a line is the shortest distance from the point to the line.
And the length of perpendicular is also known as distance of the line from the point.

Therefore, this gives a property "The length of perpendicular from a point to a line is the distance of line from the point"

Follow us on :

Terms & Conditions