On a school map, the points (8, -4), (8, -10), (2, -4), and (2, -10) represent the four corners of a sand park.

What are the coordinates of the center of the sand park?

(6, -9)

(5, -7)

(4, -2)

(8, -5)

Question

On a school map, the points (8, -4), (8, -10), (2, -4), and (2, -10) represent the four corners of a sand park. 

What are the coordinates of the center of the sand park?

 (6, -9)

 (5, -7)

 (4, -2)

 (8, -5)

anonymous · Answer

@Mertsj

anonymous · Answer

It's a square, so you can just use the midpoint formula for a diagonal.  Use the points:

(8, -4)    and   (2, -10)     for  (x1, y1)  and   (x2, y2)$$midpoint = \left( \frac{ x _{1} + x _{2} }{ 2 }, \frac{ y _{1} + y _{2} }{ 2 } \right)$$

anonymous · Answer

3,-3

anonymous · Answer

sorry its 5,-7 i subtracted on accident

anonymous · Answer

Good job!  You got it!

anonymous · Answer

Good luck in all of your studies and thx for the recognition! @french_dame