The midpoint of segment AB is P(0, 4).
Question:

The midpoint of segment AB is P(0, 4). If the coordinates of B are (−2, 3), then the coordinates of A are    

(a) $(2,5)$

(b) $(-2,-5)$

(c) $(2,9)$

(d) $(-2,11)$

 

Solution:

Let (xy) be the coordinates of A. Then

$0=\frac{-2+x}{2} \Rightarrow x=2$

$4=\frac{3+y}{2} \Rightarrow y=8-3=5$

Thus, the coordinates of A are (2, 5).
Hence, the correct answer is option (a).

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