Question

Decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use



not enough information provided


yes; AAS Congruence Theorem


yes; SAS Congruence Theorem


yes; SSS Congruence Theorem

Answer 1

Answer:

Yes; AAS Congruence Theorem

Proof:

In $\triangle ABC$ and $\triangle QRS$:

$\angle BAC = \angle RQS$ (given)

$\angle ABC = \angle QRS$ (given)

$AC =QS$ (given)

∴ $\triangle ABC \cong \triangle QRS$ (AAS)

There is enough information to prove that the two triangles are congruent through the AAS congruence theorem.

Hope this helps :)