To reflect a shape over an axis, you can either match the distance of a point to the axis on the other side of using the reflection notation.
You are watching: Reflection across the x axis rule
To match the distance, you can count the number of units to the axis and plot a point on the corresponding point over the axis.
You can also negate the value depending on the line of reflection where the x-value is negated if the reflection is over the y-axis and the y-value is negated if the reflection is over the x-axis.
Either way, the answer is the same thing.
For example:Triangle ABC with coordinate points A(1,2), B(3,5), and C(7,1). Determine the coordinate points of the image after a reflection over the x-axis.
Since the reflection applied is going to be over the x-axis, that means negating the y-value. As a result, points of the image are going to be:A"(1,-2), B"(3,-5), and C"(7,-1)
By counting the units, we know that point A is located two units above the x-axis. Count two units below the x-axis and there is point A’. Do the same for the other points and the points are alsoA"(1,-2), B"(3,-5), and C"(7,-1)
Reflection Notation:rx-axis = (x,-y)ry-axis = (-x,y)
In this lesson, we’ll go over reflections on a coordinate system. This will involve changing the coordinates.
For example, try to reflect over the
We have triangle
We’re going to reflect it over the
So we’ll do what we normally do. Just one point at a time.
This will be the
Let’s do the same for
This is now
Look at point
And just connect the points. Then we can see our reflection over the
When we reflect over the
The initial coordinates
In reflecting over the
Now, the same thing goes for reflecting over the
We’re going to reflect triangle
Similar to reflecting over the
Let’s look at
Now, we can draw a triangle that is a reflection of triangle
Let’s look at how these coordinates changed.
Originally we have coordinates
The rule of reflecting over the
And for reflecting over the
If you reflect it over the
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And reflecting over the