Question

select the correct answer.
based only on the facts in the diagram, which triangle criterion can you use to prove that \\(\delta abc\\) and \\(\delta abd\\) are congruent?
sas
saa
asa
sss

Explanation:

Identify given congruent segments

Using the Triangle Congruence Criteria knowledge point

$$ CB \cong DB $$

Identify congruent angles

Using the Triangle Congruence Criteria knowledge point

$$ \angle ABC \cong \angle ABD = 90^\circ $$

Identify the shared side

Using the Triangle Congruence Criteria knowledge point

$$ AB \cong AB $$

Determine the congruence criterion

Using the Triangle Congruence Criteria knowledge point

$$ \triangle ABC \cong \triangle ABD \quad \text{by SAS} $$

Answer:

• SAS (Correct answer)
• SAA
• ASA
• SSS