Equal Distances on Either Side of a Horizontal Mirror
Reflection over the horizontal line moves each point of an object to its reflected position. The line is the mirror line.
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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:
The image of point is . The -coordinate remains the same, while the -coordinate changes according to its distance from the line .
Determine the image of point by reflection over the line .
In this case, , , and .
Using the rule :
The image of point is .
The diagram shows the equal vertical distances.
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 .
Published: . Updated: .
Thus, the image of point is .
We know and .
From , then .
From , then .
The coordinates of point are .