Question #936dc

1 Answer
Oct 5, 2015

(-3,-6) and (-6,8)

Explanation:

Let the co-ordinates of one vertex be (x_1, y_1) and the other vertex be (x_2,y_2).

The diagonals meet at the midpoint of each diagonal.
The co-ordinates of the midpoint are the average of the two end points.

This means that you can find the co-ordinates of the midpoint by adding the x co-ordinates of the opposite vertices and dividing the sum by 2 to get the x co-ordinate, and by adding the y co-ordinates of the same vertices and dividing the sum by 2 to get the y co-ordinate.

(x_1+7)/2=2

x_1=-3

And

(y1+16)/2=5

y_1=-6

So the first set of co-ordinates is (-3,-6).

(x_2+10)/2=2

x_2=-6

And

(y_2+2)/2=5

y_2=8

So the second set of co-ordinates is (-6,8)