How to Reflect a Shape in the XAxis Using Cartesian Coordinates
Reflecting a Shape in the XAxis Using Cartesian Coordinates
A shape can be reflected in the xaxis.
If point on a shape is reflected in the xaxis, the xcoordinate stays the same, but the ycoordinate changes sign (becomes negative if it is positive and vice versa).
The image below shows a point on a shape being reflected in the xaxis:

The point A has Cartesian coordinates (3, 1).

The reflected point A' has Cartesian coordinates (3, −1). The xcoordinate is still 3, but the ycoordinate has changed from 1 to −1.
How to Reflect a Shape in the XAxis Using Cartesian Coordinates
Reflecting a shape in the xaxis using Cartesian coordinates is easy.
Question
Reflect the shape below in the xaxis.
StepbyStep:
1
Find the Cartesian coordinates of each point on the shape.
Write the xcoordinates and ycoordinates of each point.
Point  xcoordinate  ycoordinate 

A  2  3 
B  5  2 
C  2  1 
2
Find the Cartesian coordinates of the reflected points.
Keep the xcoordinate the same, but change the sign of the ycoordinate.
Point  xcoordinate  ycoordinate  Point  xcoordinate  ycoordinate 

A  2  3  A'  2  −3 
B  5  2  B'  5  −2 
C  2  1  C'  2  −1 
3
Plot the reflected points and draw in the shape.
Answer:
We have reflected the shape in the xaxis.
A Formula to Reflect a Point in the XAxis Using Cartesian Coordinates
In general, we write Cartesian coordinates as:
x is the xcoordinate. y is the ycoordinate. x and y can taken any number.
The reflected point has Cartesian coordinates:
The image below shows a general Cartesian coordinate being reflected in the xaxis: