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geometry intermediate
Problem
Points and are located at (2, 1) and (12, 15) respectively. Point is the midpoint of segment . Segment is reflected over the -axis. What is the sum of the coordinates of the image of point (the midpoint of the reflected segment)?
Solution
Point has coordinates . Therefore, its image has coordinates . Thus the sum is .
Alternatively, the image of point is the midpoint of the images of points and and thus is the midpoint of and , which is also .
Alternatively, the image of point is the midpoint of the images of points and and thus is the midpoint of and , which is also .
Final answer
-1