Learn how to find the coordinates of the reflection of a point in the x-axis from here. To find the coordinates of the plane, the x-axis represents the plain mirror. There are some sets of rules to find the reflection the coordinates of the reflection of the points in the x-axis. Follow the rules given in the below sections to solve the problems related to the reflection of a point in the x-axis.
i. Retain the x-coordinate
ii. Change the sign of the y-coordinate
Also Check:
Reflection of a Point in the x-axis – Definition & Meaning
Reflection of a point in the x-axis means the x-coordinate remains no change and the y-coordinate will be varied by changing the sign (additive inverse). The reflection of point (x, y) across the x-axis is (x, -y). Reflection in the line y = 0 i.e., in the x-axis.
Problems on Reflection of a Point in the x-axis
Example 1.
Write the coordinates of the image of the point (5, -2) when reflected in the x-axis.
Solution:
Given that the point is (5,-2)
The image of (5,-2) is (-5,2)
Example 2.
Write the coordinates of the image of the point (7, -4) when reflected in the x- axis.
Solution:
Given that the point is (7,-4)
The image of (7,-4) is (-7,4).
Example 3.
Write the coordinates of the image of the point (-7, 2) when reflected in the x- axis.
Solution:
Given that the point is (-7,2)
The reflection of this point about the x-axis will lie In the third quadrant since the point itself lies in the second quadrant and so just the sign of the y-coordinate will invert and hence the coordinates of the reflection of the point.
The image of (-7,2) is (7,-2).
Example 4.
Write the coordinates of the image of the point (1, -1) when reflected in the x- axis.
Solution:
Given that the point is (1,-1)
The image of (1,-1) is (-1,1).
Example 5.
Write the coordinates of the image of the point (-3, 2) when reflected in the x- axis.
Solution:
Given that the point is (-3,2)
The reflection of this point about the x-axis will lie In the third quadrant since the point itself lies in the second quadrant and so just the sign of the y-coordinate will invert and hence the coordinates of the reflection of the point.
The image of (-3,2) is (3,-2).
FAQs on Reflection of a Point in the X-axis
1. What is the reflection of point (x, y) across the x-axis?
The reflection of point (x, y) across the x-axis is (x, -y).
2. What is the reflection of point (1, -2) when reflected in the x-axis.
Given that the point is (1,-2)
The reflection of point (1, -2) across the x-axis is (1, 2).
3. What is the reflection of point (-5, 6) when reflected in the x-axis.
Given that the point is (-5,6)
The reflection of point (-5, 6) across the x-axis is (-5, -6).