△ QRS ≅ △ VWX by the ASA Congruence Theorem.
Practice makes perfect
From the diagram, we see that two pairs of angles and the pair of included sides are congruent. Therefore, we have enough information to prove congruence. We can use the ASA Congruence Theorem to prove congruence:
△ QRS ≅ △ VWX by the ASA Congruence Theorem.
We cannot use the AAS Congruence Theorem as that requires a pair of corresponding non-included sides to be congruent, which we do not have.
