Question

HIJK is a parallelogram because the midpoint of both diagonals is ____, which means the diagonals bisect each other. What goes in the blank?

A. (1, -1)
B. (1, 1)
C. (1, 0)
D. (0, 1)

Answer 1

1,0 just took it on ED

Explanation:

Answer 2

C. (1,0) This is a simple matter of determining the midpoint of both diagonals. The 1st diagonal is from point H(-2,2) to point J(4,-2). And the midpoint is simply the average of both points. So you get: ((-2+4)/2, (2-2)/2) = (2/2, 0/2) = (1, 0) And the 2nd diagonal is from point I(4,3) to point K(-2,-3). And its midpoint is ((4-2)/2, (3-3)/2) = (2/2, 0/2) = (1, 0) So you see that the midpoint of both diagonals is the same (1,0) and that matches option C.