Question

which can be proven? select all that apply. a. ∠ced≅∠ahj b. (overline{ab}congoverline{cb}) c. (overline{cb}congoverline{db}) d. ∠dag≅∠jcf

Explanation:

Step1: Analyze vertical - angle property

Vertical angles are congruent. $\angle CED$ and $\angle AEH$ are vertical angles, and $\angle AEH$ and $\angle AHJ$ are not related in a way that guarantees congruence just from the given figure. So, $\angle CED
ot\cong\angle AHJ$.

Step2: Check congruent - segment markings

From the figure, we can see that there are markings indicating that $\overline{AB}\cong\overline{CB}$.

Step3: Analyze segment relationships

There is no indication in the figure that $\overline{CB}\cong\overline{DB}$.

Step4: Consider angle - congruence based on symmetry

The figure appears to have a certain symmetry. Triangles $\triangle ADG$ and $\triangle JCF$ seem to be in a symmetric relationship. Since the right - angle markings and the segment markings suggest similar geometric set - ups, $\angle DAG\cong\angle JCF$.

Answer:

B. $\overline{AB}\cong\overline{CB}$, D. $\angle DAG\cong\angle JCF$