Question

figure abcd is a quadrilateral, where $\triangle abd \cong \triangle cdb$. move values to the figure to show the measures of $\overline{bc}$ and $\overline{cd}$. 3 cm 5 cm 8 cm

Explanation:

Step1: Match congruent triangle sides

Since $\triangle ABD \cong \triangle CDB$, corresponding sides are equal:
$\overline{BC} \cong \overline{AD}$, $\overline{CD} \cong \overline{AB}$

Step2: Assign given side lengths

From the figure: $AD = 8$ cm, $AB = 5$ cm
So $\overline{BC} = 8$ cm, $\overline{CD} = 5$ cm

Answer:

$\overline{BC} = 8$ cm, $\overline{CD} = 5$ cm
(Place 8 cm on the $\overline{BC}$ dashed box, 5 cm on the $\overline{CD}$ dashed box)