Point $B(3,4)$ is the midpoint of the line segment joining the points $A(1,1)$ and $C$. The coordinates of $C$ are
(A) $(2,3)$
(D) $(5,8)$
(B) $(2,2)$
(C) $(4,6)$
(E) $(5,7)$

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-116.jpg?height=410&width=518&top_left_y=952&top_left_x=1358)
To get from $A$ to $B$, we must go 2 units to the right and 3 units up. Since $B$ is the midpoint of $A C$, then to get from $B$ to $C$, we must also go 2 units to the right and 3 units up. Therefore, $C$ has coordinates $(5,7)$.

Answer: (E)