Question

which congruence theorem can be used to prove △bda ≅ △bdc? options: hl, ssa, aas, sss

Explanation:

Step1: Identify the sides

We know that \(BD = BD\) (common side), \(BC=BA\) (given as marked equal), \(CD = AD\) (given as marked equal).

Step2: Apply the congruence theorem

By the SSS (Side - Side - Side) congruence theorem, if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent. Here, in \(\triangle BDA\) and \(\triangle BDC\), \(BA = BC\), \(AD=CD\), \(BD = BD\).

Answer:

SSS