Chapter 6.3, Problem 8CYU

To determine

To prove that the diagonals of a parallelogram bisect each other .

Explanation of Solution

Let us take a parallelogram,

Now using midpoint formula we get the mid-point of ZX as,

$\left(\frac{a-b}{2},\frac{0+c}{2}\right)$

Similarly the mid-point of WY is,

$\left(\frac{a-b+0}{2},\frac{0+c}{2}\right)$

Here we may observe that the mid-point is of both the diagonals is also the intersection.

Hence we can determine that the diagonals of a parallelogram bisect each other.