Diagonals of Parallelogram

[nycmathguy]

Can you set this up for me to do?

 

[MathLover1]

the diagonals intersect at a midpoint , name it M, use midpoint formula and show that is the midpoint of each diagonal has same coordinates

 

[nycmathguy]

the diagonals intersect at a midpoint , name it M, use midpoint formula and show that is the midpoint of each diagonal has same coordinates

Let M_1 = first midpoint.

Let M_2 = second midpoint

I need to show that M_1 = M_2.

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

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

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

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

So, M_1 = M_2.

 

[MathLover1]

perfect

 

[nycmathguy]

perfect

I will begin to post Calculus 1 questions on limits this weekend, Lord willing. Look for calculus questions in the Calculus Forum.