Quadrilateral RSTU with diagonals
segment
R
T
and
segment
S
U
is shown on the coordinate plane below.
Complete the proof that RSTU is a parallelogram.
Using the midpoint formula, the midpoint of diagonal 
segment
R
T
 is . Also, the midpoint of diagonal 
segment
S
U
 is . So,  is the midpoint of both diagonals, 
segment
R
T
 and 
segment
S
U
.
Since a midpoint bisects a segment, and since the diagonals intersect at their midpoints, diagonals 
segment
R
T
 and 
segment
S
U
 . So, 
R
S
T
U
 is a parallelogram.
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