Question

triangles rqs and ntv have the following characteristics: • right angles at ∠q and ∠t • rq ≅ nt can it be concluded that △rqs ≅ △ntv by sas? why or why not? yes, one set of corresponding sides and one corresponding angle are congruent. yes, they are both right triangles. no, it is necessary to know that another set of corresponding sides is congruent. no, it is not possible for the triangles to be congruent.

Explanation:

SAS congruence requires two pairs of corresponding sides and the included angle to be congruent. Here, only one pair of sides (RQ ≅ NT) and the included right angles (∠Q ≅ ∠T) are given; a second pair of corresponding sides is needed.

Answer:

No, it is necessary to know that another set of corresponding sides is congruent.