Question

99 POINTS!!! JUST ANSWER THIS QUESTION, PLEASE!!!

Answer 1

Hi!

I would approach this question by first looking at where the parallelogram is located, by graphing the image. I did so and drew a rough image on Paint (See attached image)

To get the part where the diagonals intersect, I would find the midpoint of the line between points (1, 3) and (5,-9) (or the other pair). The reason is a parallelogram's diagonals always bisect each other, meaning the point they intersect is always the middle of the two diagonals.

Therefore, you can find the midpoint of a diagonal, between (1, 3) and (5, -9). The midpoint theorem is ($\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}$.

Take the points (1, 3) and (5, -9), and fill them in.

$(\frac{1 + 5}{2} , \frac{3 - 9}{2})$

Then solve.

$(\frac{6}{2}, \frac{-6}{2})$

(3, -3)

If you'd like to check the other midpoint:

Take the points, (8, 3) and (-2, -9)

$(\frac{8 - 2}{2}, \frac{3 - 9}{2})$

Then solve.

$(\frac{6}{2} , \frac{-6}{2})$

(3, -3)

They're the same, so that answer is correct.

Hope this helps!