Question

On parallelogram ABCD below, if A(1, 1) B(8,-5), C(5,-5) and D(-2, -9), what are the coordinates of point E?

Answer 1

In the parallelogram ABCD, diagonal AC and diagonal BD intersect eact other at point E.

Determine the coordinate of point E.

`\begin{gathered} E(x,y)=((1+5)/(2),(1-5)/(2)) \\ =((6)/(2),(-4)/(2)) \\ =(3,-2) \end{gathered}`

So coordinates of point E are (3,-2).