Question

which congruence theorem can be used to prove △bda ≅ △dbc? hl sas aas sss

Explanation:

Step1: Identify the triangles as right - angled

$\triangle BDA$ and $\triangle DBC$ are right - angled triangles (given the right - angle marks).

Step2: Check for hypotenuse and leg

The hypotenuse $BD$ is common to both triangles. Also, the legs $DA$ and $BC$ are equal (marked as equal in the figure).

Answer:

HL (Hypotenuse - Leg) congruence theorem.