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Harlamova29_29 [7]
3 years ago
15

Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

B. B = (4,-2)

Step-by-step explanation:

GIven that A = (-2, 2) and M = (1, 0), and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

M = \frac{1}{2}\cdot A + \frac{1}{2}\cdot B

The location of B is now determined after algebraic handling:

\frac{1}{2}\cdot B = M - \frac{1}{2}\cdot A

B = 2\cdot M -A

Then:

B = 2\cdot (1,0)-(-2,2)

B = (2\cdot 1, 2\cdot 0)-(-2,2)

B = (2,0) -(-2,2)

B = (4,-2)

Which corresponds to option B.

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