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The midpoint of CD¯¯¯¯¯ is E (−1,0). One endpoint is C (5,2). What are the coordinates of the other endpoint?
The coordinates of the midpoint E are (-1,0).
Let the coordinates of the other endpoint be (x, y).
Using the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Substitute the given values:
(-1, 0) = ((5 + x)/2, (2 + y)/2)
Solve for x and y:
-1 = (5 + x)/2 => -2 = 5 + x => x = -7
0 = (2 + y)/2 => 0 = 2 + y => y = -2
Therefore, the coordinates of the other endpoint are (-7, -2).