Question

the congruence theorem that can be used to prove \\( \triangle bae \cong \triangle cad \\) is
sss.
sas.
asa.
hl.

Explanation:

• In the diagram, we can observe that \( BA = CA \) (marked with one tick), \( EA = DA \) (marked with two ticks), and \( \angle BAE=\angle CAD = 90^{\circ}\) (right angles).
• The SAS (Side - Angle - Side) congruence theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent. Here, in \(\triangle BAE\) and \(\triangle CAD\), we have two pairs of equal sides (\(BA = CA\) and \(EA = DA\)) and the included right angles (\(\angle BAE\) and \(\angle CAD\)) are equal.

Answer:

SAS.