Question

select the correct answer.
overline{ac} and overline{bd} are diagonals of quadrilateral abcd. is quadrilateral abcd a parallelogram? explain.

a. yes, because the diagonals bisect each other.
b. no, because the sides are congruent.
c. yes, because the sides are congruent.
d. no, because the diagonals bisect each other.

Explanation:

One of the properties of a parallelogram is that its diagonals bisect each other. In the given quadrilateral \(ABCD\), \(AO = OC = 4\) and \(BO=OD = 6\). So the diagonals \(\overline{AC}\) and \(\overline{BD}\) bisect each other.

Answer:

A. Yes, because the diagonals bisect each other.