Question

verify that the diagonals of the rectangle with vertices p(-1,4) Q (-2,1) R (4,-1) and S (5,2) bisect each other

Answer 1

Explanation:

To do this we need to show that the midpoints of the diagonals PR and QS are the same point.

The midpoint of PR = (-1+4)/2, (4-1)/2 = (3/2, 3/2).

The midpoint of QS = (-2+5)/2, )/2, (1 + 2)/2 = (3/2. 3/2).

We see that the points are identical so the diagonals do bisect each other.