# Determine the coordinates of the unknown vertex or vertices of each figure below. Use variables if necessary.I'm not sure how to find C and E.

Determine the coordinates of the unknown vertex or vertices of each figure below. Use variables if necessary.I'm not sure how to find $C$ and $E$.
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maceratorti
Opposite sides of a parallelogram are parallel and congruent. Since$\overline{AB}$ lies on the x-axis, it is horizontal. Thus, side $\overline{CD}$ is also horizontal. Since it passes through the point $D\left(b,c\right)$, the y-coordinate of point $C$ is $c$. Since $\overline{AB}$ has length $a$, so does $\overline{CD}$ Hence, the $x$-coordinate of point $C$ is $a+b$. Therefore, the coordinates of point $C$ are $\left(a+b,c\right)$.
The diagonals of a parallelogram bisect each other. Thus, point $E$ is the midpoint of $\overline{AC}$. Hence, its coordinates are
$\left(\frac{a+b}{2},\frac{c}{2}\right)$