If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.
-
A.
(8,6) -
B.
(5,6) -
C.
(0,4) -
D.
(6,5)
Correct Answer: Option D
Explanation
Midpoint of a line PQ where P has coordinates (x(_{1}), y(_{1})) and Q has coordinates (x(_{2}), y(_{2})) is given as
((frac{x_{1} + x_{2}}{2}, frac{y_{1} + y_{2}}{2})).
(therefore) If Q has coordinates (r, s), then
(frac{-2 + r}{2} = 2) and (frac{1 + s}{2} = 3)
(-2 + r = 4 implies r = 6)
(1 + s = 6 implies s = 5)
Q = (6, 5)
There is an explanation video available below.