Questions: √4 SSS ◯ ◯ ◯ ◯ ◯ SAS ◯ ◯ ◯ ◯ ◯ ASA ◯ ◯ ◯ ◯ (o) B AAS ◯ ◯ ◯ ◯ ◯ HL ◯ ◯ ◯ ◯ ◯ Not enough information to prove congruence ◯ ◯ ◯ ◯ ◯

Transcript text: \begin{tabular}{|c|c|c|c|c|c|} \hline & & & & & $\sqrt{4}$ \\ \hline SSS & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ \\ \hline SAS & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ \\ \hline ASA & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & (o) B \\ \hline AAS & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ \\ \hline HL & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ \\ \hline Not enough information to prove congruence & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ & $\bigcirc$ \\ \hline \end{tabular}

Solution

The question appears to be related to determining which method can be used to prove the congruence of triangles based on given information. The table lists different methods of proving triangle congruence: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), HL (Hypotenuse-Leg for right triangles), and an option for not having enough information.

The table seems to indicate that the ASA method is the correct choice for the given scenario, as it is marked with "(o) B" under the column labeled with a square root symbol, which might be a placeholder or a specific condition related to the problem.

Here's a brief explanation of each method:

SSS (Side-Side-Side): This method proves congruence if all three sides of one triangle are equal to all three sides of another triangle. It is not marked as the correct choice here.
SAS (Side-Angle-Side): This method proves congruence if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle. It is not marked as the correct choice here.
ASA (Angle-Side-Angle): This method proves congruence if two angles and the included side of one triangle are equal to two angles and the included side of another triangle. This is marked as the correct choice in the table.
AAS (Angle-Angle-Side): This method proves congruence if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle. It is not marked as the correct choice here.
HL (Hypotenuse-Leg): This method is specific to right triangles and proves congruence if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle. It is not marked as the correct choice here.
Not enough information to prove congruence: This option is used when there is insufficient information to apply any of the congruence methods. It is not marked as the correct choice here.