Question

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.

Answer 1

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.