Axis In Coordinate Geometry
Axis In Coordinate Geometry
In the Geometry, the points on the plane are defined by using a pair of Numbers and
they are called coordinates.
Suppose we have a table, and the table has 6 columns which are named as P, Q, R,
S, T, U and six rows are present in the table which is 1, 2, 3, and so on. And we have
value `w' in the box R3; it means `R' column and 3 rows, where `R' and 3 are said to
be the coordinates of a table.
Similarly points can be plotted on axes with help of coordinates. Now we will talk
about Axis of Symmetry;Two Axis in Coordinate Geometry are present in a plane and
they are known as x - axis and y - axis.
The axis along the horizontal direction is known as x - axis and the axis along the
vertical direction is said to be y - axis or in other words we can say that along the x -
axis a perpendicular is drawn that perpendicular is known as y - axis.
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In case of x - axis the values present to the right side are positive values and the
values present on the left side are negative values.
In case of y - axis the values present above the origin are positive values and the
values present below the origin are negative values. The location of a Point in a plane
of geometry is given by the pair of numbers.
In pair the first number tells that where it lies on the x - axis and the second number
tells that where it lies on the y - axis. It doesn't represent two locations for the single
variable.
Both axis `x' and `y' define the unique position in the plane of geometry. This is all
about the axis of coordinate geometry.
A line which passes through a shape in such a way that each side is mirror image of
each other is known as Axis of Symmetry.
We can say that a line which is divides the figure in two symmetrical parts and each
part is mirror image of each other part is known as Axis of Symmetry.
Now we will see types of symmetry.
There are three types of symmetry which are shown below:
x - Axis symmetry.
y - axis symmetry,
Origin symmetry.

To find the axis of symmetry we have to follow some steps which are shown below:
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Step 1: To find the axis of symmetry we take equation of figure.
Step 2: Then identify the coordinates of given expression.
Step 3: Now axis of symmetry can be found by using the formula shown below:
Axis of symmetry = -b/2a;
Step 4: Put the values in the given formula we get axis of symmetry.
Now we will understand these steps with the help of an example:
Suppose we have an expression y = x2 + 14x + 34 and we have to find the axis of
symmetry.
To find the axis of symmetry we have to follow steps shown below:
Step 1: First we take an expression y = x2 + 14x + 34;
Then identify the coordinates of an expression:
Let a = 1, b = 14 and c = 34;


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