McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
2. Parallelograms
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Exercise 22 Page 490

If a quadrilateral is a parallelogram, then its diagonals bisect each other.

(0,1.5)

Practice makes perfect

Let's plot the given points and draw the parallelogram with its diagonals on a coordinate plane.

The diagonals of a parallelogram will always bisect each other. Therefore, to find the coordinates of the intersection of the diagonals, we can find the midpoint of either WY or XZ. Let's substitute the coordinates of W and Y into the Midpoint Formula to find the midpoint of WY.
( x_1+x_2/2, y_1+y_2/2 )
( - 4+ 4/2, 5+( -2)/2 )
( -4+4/2, 5-2/2 )
( 0/2, 3/2 )
( 0, 1.5 )
The midpoint of WY is (0, 1.5). Consequently, these are the coordinates of the intersection of the diagonals of the parallelogram WXYZ.