6.3. Parallelograms http://www.ck12.org
Example C
Show that the diagonals ofF GHJbisect each other.
The easiest way to show this is to find the midpoint of each diagonal. If it is the same point, you know they intersect
at each other’s midpoint and, by definition, cuts a line in half.
Midpoint ofF H:(
− 4 + 6
2
,
5 − 4
2
)
= ( 1 , 0. 5 )
Midpoint ofGJ:(
3 − 1
2
,
3 − 2
2
)
= ( 1 , 0. 5 )
Watch this video for help with the Examples above.
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/52567CK-12 Foundation: Chapter6ParallelogramsB
Concept Problem Revisited
By the Parallelogram Diagonals Theorem, the fountain is going to be 34 feet from either endpoint on the 68 foot
diagonal and 25 feet from either endpoint on the 50 foot diagonal.