As we can see, the reflection of the point is at (4,0). Note that the reflection in the x-axis does not change the coordinates of the point. This is supported by the fact that its y-coordinate is 0, and opposite number to 0 is 0. Let's see the picture!
We can see that the point is located at (4,0) after the reflection in the x- axis of a coordinate plane.
Extra
More About Coordinate Planes
A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants. An ordered pair is used to locate a point in a coordinate plane. The first coordinate represents the x-axis and the second coordinate the y-axis.
We want to reflect a point in the y-axis of a coordinate plane. To do this, we keep the same y-coordinate and take the opposite of the x-coordinate.
Point
Reflection in the y-axis
( x,y)
( - x,y)
( 4,0)
( -4,0)
As we can see, the reflection of the point is at (-4,0). Let’s plot our point and its reflection on the coordinate plane.
We can see that the point is located at (-4,0) after the reflection in the y- axis of a coordinate plane.
Extra
More About Coordinate Planes
A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants. An ordered pair is used to locate a point in a coordinate plane. The first coordinate represents the x-axis and the second coordinate the y-axis.
