If $\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right)$ is the midpoint of segment PQ and the coordinates of P are (5,1) , find the coordinates of Q .
A) (-10,2)
B) (10,-2)
C) (0,4)
D) none of these

Question

Quizplus · Accepted Answer

The midpoint formula is $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Using the given midpoint $\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right)$ and point P(5,1), solve for Q(x,y): $\frac{5 + x}{2} = -\frac{5}{2}$ and $\frac{1 + y}{2} = \frac{3}{2}$. Solving these gives Q(-10,2).

If (−52,32)\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right)(−25​,23​)

If $\left( - \frac { 5 } { 2 } , \frac { 3 } { 2 } \right)$