Question

Find the coordinates of the intersection of the diagonals of parallelogram WXYZ with the following vertices: W(0,0),X(2,4),Y(12,6),Z(10,2)

Answer 1

hmm have you drawn them yet? can you tell where it might be?

Answer 2

I've drawn the parallelogram. I'm just unsure what its asking. Is there an equation to find the coordinates of the intersection of the diagonals of a parallelogram?

Answer 3

well..... anyhow... the parallelogram is more or less like so... now.. can you draw on that graph the diagonals?

Answer 4

I'm confused about what a diagonal is.

Answer 5

a line that goes from one corner to the OPPOSITE corner

Answer 6

so that means if you want to know where the diagonals are intersecting, and thus cutting each other in half
that will be the "midpoint" of the line WY
or
the "midpoint" of the line XZ
thus \(\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
X&({\color{red}{ 2}}\quad ,&{\color{blue}{ 4}})\quad Z&({\color{red}{ 10}}\quad ,&{\color{blue}{ 2}})\\
W&({\color{red}{ 0}}\quad ,&{\color{blue}{ 0}})\quad Y&({\color{red}{ 12}}\quad ,&{\color{blue}{ 6}})
\end{array}\qquad
\left(\cfrac{{\color{red}{ x_2}} + {\color{red}{ x_1}}}{2}\quad ,\quad \cfrac{{\color{blue}{ y_2}} + {\color{blue}{ y_1}}}{2} \right)\)

Answer 7

so the answer would be (6,3)?

Answer 8

yeap

Answer 9

Thank you

Answer 10

check your graph....it'd be at 6,3 :)
yw