Diagonals of Parallelogram

Use the midpoint formula you used in this post to compute the midpoints of the two diagonals and see if they are the same.

Hello. Thanks. I am looking for the same distance of the diagonals by using the midpoint formula, right?

You are looking for the midpoints to be the exact same

Ok. Sounds good.

Let me see.

Let M_1 = midpoint of points (0, 0) & (a + b, c).

Let M_2= midpoint of the points (b, c) & (a, 0).

I will not show the work.

M_1 = [(a + b + 0)/2, (c + 0)/2]

M_1 = [(a + b)/2, (c/2)]

M_2 = [(a + b)/2, (c + 0)]

M_2 = [(a + b)/2, (c/2)]

I see that M_1 = M_2.

Thus, the prove has been shown to be true.