For AI agents: use /llms.txt for the Nakafa content index.
Reflection over the horizontal line is a geometric transformation that maps each point of an object to a new position. The line acts as a mirror.
The vertical distance from the original point to the mirror line is equal to the vertical distance from the image point to the mirror line. The -coordinate of the point does not change.
If a point is reflected over the line , its image's coordinates, , are determined by the rule:
Thus, the image of point is . Note that the -coordinate remains the same, while the -coordinate changes based on its distance from the line .
Determine the image of point by reflection over the line .
In this case, , , and .
Using the rule :
Thus, the image of point is .
Now, let's visualize this example.
Given and the mirror line . So .
Thus, the image of point is .
Given and the mirror line . So .
Given the image and the mirror line . So .
Thus, the image of point is .
We know and .
From , then .
From , then .
Thus, the coordinates of point are .
