Mathematics, 08.11.2019 23:31, puppylove899

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.

Answers: 2

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Do you know the correct answer?

Complete the coordinate proof of the theorem.

given: abcd is a parallelogram.