Question

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

Explanation:

Step1: Analyze the triangles

We have two right - angled triangles \( \triangle BDA\) and \( \triangle DBC\).

Step2: Identify the congruent parts

In right - angled triangles, if the hypotenuse and one leg are congruent, the triangles are congruent. Here, \(BD\) is a common leg. Also, \(DA = BC\) (given by the marks in the figure) and \(BA=DC\) (hypotenuse).

Answer:

HL