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A line segment has a midpoint of (3, 7/2). If one endpoint is (6,5), what is the other endpoint?

Respuesta :

Answer:

  (0, 2)

Step-by-step explanation:

When segment AB has midpoint M, the coordinates of M are ...

  M = (A+B)/2

Solving for B, we find ...

  2M = A+B

  2M -A = B

Filling in the given values for the midpoint (M) and the one end (A), we have ...

  B = 2(3, 7/2) -(6, 5) = (6 -6, 7 -5) = (0, 2)

The other endpoint of the segment is (0, 2).

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