Question 41

Point P is the midpoint of segment AB. Co-ordinates of P are (1 , 3) and A are (-3 , 8). What are the co-ordinates of point B?

Solution

Mid-point = $$(\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2})$$

(1 , 3) = $$(\frac{-3+x}{2} , \frac{8+y}{2})$$

-3+x = 2 so x = 5

8+y = 6 so y = -2

so the answer is option D.

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