Question

based on the markings in the diagram, what additional information must be stated in order to prove $\triangle abccong\triangle dbc$ by the asa congruence theorem? (1 point) $overline{ab}congoverline{bd}$ $angle acongangle d$ $overline{bc}congoverline{bc}$ $overline{ac}congoverline{dc}$

Explanation:

Step1: Recall ASA congruence theorem

ASA (Angle - Side - Angle) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.

Step2: Identify known elements

In △ABC and △DBC, we have BC as the common side (the included side). Also, ∠ABC and ∠DBC are marked as congruent.

Step3: Determine missing element

We need the other pair of angles that share the side BC. So we need ∠A≅∠D to satisfy the ASA congruence criterion.

Answer:

∠A≅∠D