Question

the diagram shows two overlapping triangles, △bac and △abd. draw each triangle separately, and label the congruent parts.

Explanation:

Step1: Identify congruent parts

From the overlapping - triangle diagram, we can see that $\overline{AB}$ is common to both $\triangle BAC$ and $\triangle ABD$. Also, assume there are markings indicating other congruent parts. Let's say $\angle BAC\cong\angle ABD$ and $\angle ABC\cong\angle BAD$.

Step2: Draw $\triangle BAC$

Draw a triangle with vertices $B$, $A$, and $C$. Mark $\angle BAC$ and $\overline{AB}$.

Step3: Draw $\triangle ABD$

Draw a separate triangle with vertices $A$, $B$, and $D$. Mark $\angle ABD$, $\angle BAD$, and $\overline{AB}$. Label the congruent parts: $\overline{AB}$ is congruent in both triangles, $\angle BAC\cong\angle ABD$, $\angle ABC\cong\angle BAD$.

Answer:

Draw $\triangle BAC$ and $\triangle ABD$ separately. In $\triangle BAC$, mark $\angle BAC$ and side $\overline{AB}$. In $\triangle ABD$, mark $\angle ABD$, $\angle BAD$, and side $\overline{AB}$. Label $\overline{AB}\cong\overline{AB}$, $\angle BAC\cong\angle ABD$, $\angle ABC\cong\angle BAD$. (Note: The actual congruent - part labels may vary depending on the specific markings in the original diagram, but the general process is as described above.)