Question

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?

Answer 1

Show the midpoints of MP is ( (a + b) / 2 , c/2 ) and the mid point of QN is Show the midpoints are ( (a + b) / 2 , c/2 )
Given that the lines MP and QP are congruent, if they are bisected the midpoints are the same, which is what Hiroshi has to show which will appropriate to the figure in parallelogram.