Diagonals of Parallelogram

Set 1.4
David Cohen

Part (a)

What information in the problem indicates that the coordinates of point B are (a + b, c)?

Part (b)

Is my set up for (b) correct?

Let M_1 = midpoint of line segment OB.

Let M_2 = midpoint of line segment AC.

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

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

Part (c)

If M_1 = M_2, then the diagonals of parallelogram OABC bisect each other. Yes?

 

Part (a)
let coordinates of B be (x,y)

OA || CB , and both are horizontal
then x-a = b-0
x =a+b
and
y= c

set up for (b) is correct

Part (c) yes

 

Very good. Thanks.