Question

select the correct answer from each drop - down menu.
in the figure, (overline{ac}) and (overline{bd}) bisect each other. the length of (overline{ab}) is 12 centimeters and the length of (overline{bc}) is 11 centimeters.
the length of (overline{ad}) is (\boldsymbol{checkmark}) centimeters and the length of (overline{dc}) is (\boldsymbol{square}) centimeters.
(the drop - down for (overline{ad}) has options 11, 12, 23, 1; there are also reset and next buttons.)

Explanation:

Step1: Identify quadrilateral type

If diagonals bisect each other, the quadrilateral is a parallelogram. In a parallelogram, opposite sides are equal.

Step2: Match opposite sides

$\overline{AD}$ is opposite $\overline{BC}$, so $AD = BC = 11$ cm.
$\overline{DC}$ is opposite $\overline{AB}$, so $DC = AB = 12$ cm.

Answer:

The length of $\overline{AD}$ is 11 centimeters and the length of $\overline{DC}$ is 12 centimeters.