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HELP.

Hiroshi is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. He begins by assigning coordinates to the vertices of a parallelogram as shown.


Which sentence describes what Hiroshi should do to show that the diagonals of the parallelogram bisect each other?

HELP. Hiroshi is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. He begins by assigning coordinates to the vertices class=
HELP. Hiroshi is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. He begins by assigning coordinates to the vertices class=

Verified Answer :

nobillionaireNobley

The third option is the correct answer.
Show that the midpoint of MP = ((a + b)/2, c/2) and the midpoint of QN = ((a + b)/2, c/2)

frika

1 option is false, because it shows that lines QM and PN are parallel.

2 option is false, because it shows that the diagonals of parallelogram have different lengths.

3 option is true, becuase if you find the coordinates of midpoints of both diagonals and these coordinates coincides, then these midpoints are placed in one point on the coordinate plane. This means that diagonals of a parallelogram bisect each other.

4 option is false, because it shows that opposite sides of parallelogram are congruent.

Answer: correct choice is option 3.