Given the congruency statement AQRY ≅ AJLS, the congruent angles are ∠AQY ≅ ∠AJL, ∠ARY ≅ ∠ALS, ∠QRY ≅ ∠JLS, and the congruent sides are AQ ≅ AJ, QR ≅ JL, RY ≅ LS. Another congruency statement could be RQYA ≅ LJSA.
Given the congruency statement AQRY ≅ AJLS, we can deduce that corresponding angles and sides of each triangle are congruent because of the triangle congruence criteria.
Angles: ∠AQY ≅ ∠AJL, ∠ARY ≅ ∠ALS, ∠QRY ≅ ∠JLS
Sides: AQ ≅ AJ, QR ≅ JL, RY ≅ LS
Another valid congruency statement could then be written by rearranging the vertices in the same order of congruency: RQYA ≅ LJSA.