Question

Parallelogram ABCD is positioned on a coordinateplane with the coordinates as shown. N is themidpoint of BC. What are the coordinates of N?

Answer 1

we have that

The coordinate of point B(8,7) and the coordinate of point C(6,3)

Find the midpoint BC

Remember that the formula to calculate the midpoint between two points is equal to

$N(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

(x1,y1)=B(8,7)

(x2,y2)=(6,3)

substitute the given values in the formula

$\begin{gathered} N(\frac{8+6}{2},\frac{7+3}{2}) \\ \\ N(7,5) \end{gathered}$

therefore

The coordinates of point N are (7,5)