The reflection of the point (6, - 3) on the line y = 2 is:
The reflection of the point (6, - 3) on the line y = 2 is:
Solution
The line is a horizontal line parallel to the x-axis. When reflecting a point across this line, the point flips to the other side at the same distance from the line.
When reflecting across a horizontal line , the x-coordinate remains unchanged. The point only moves vertically.
The reflected point will have (same as the original).
Original point:
Mirror line:
Distance
Distance
Distance units
The point is units below the line since .
The reflected point must be units above the line .
New y-coordinate
New y-coordinate
The reflected point is .
Alternatively, using the formula for reflection across horizontal line :
New point
New point
New point
New point
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