given: abcd is a parallelogram.
Mathematics, 30.10.2019 07:31 saltytaetae
Complete the coordinate proof of the theorem.
given: abcd is a parallelogram.
prove: the diagonals of abcd bisect each other.
parallelogram in quadrant 1 of the coordinate plane with vertices at a begin ordered pair 0 comma 0 end ordered pair, b begin ordered pair a comma 0 end ordered pair, c begin ordered pair a plus c comma b end ordered pair and d.
enter your answers in the boxes.
the coordinates of parallelogram abcd are a(0, 0) , b(a, 0) , c(a+c, b) , and d(
,
).
the coordinates of the midpoint of ac are ( a+c2 ,
).
the coordinates of the midpoint of bd are (
, b2 ).
the midpoints of the diagonals have the same coordinates.
therefore, the diagonals of abcd bisect each other.
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Complete the coordinate proof of the theorem.
given: abcd is a parallelogram.
given: abcd is a parallelogram.
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