For AI agents: use /llms.txt for the Nakafa content index.
Reflection over the vertical line is a geometric transformation where each point of an object is mapped to a new position. The line acts as a mirror.
The horizontal distance from the original point to the mirror line is equal to the horizontal 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 . The point lies on the mirror line, so its image is the point itself.
Now, let's try another example. Determine the image of point if it is reflected over the line .
Here, , , and .
Thus, the image of point is .
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 .
