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? no, it is not possible for the triangles to be congruent. no, it is necessary to know that another set of corresponding sides is congruent. yes, one set of corresponding sides and one corresponding angle are congruent. yes, they are both right triangles.

Explanation:

To determine if △RQS ≅ △NTV by SAS, we need two pairs of corresponding sides and the included angle congruent. Given right angles at Q and T (∠Q ≅ ∠T, included angles) and RQ ≅ NT (one pair of sides), but no information about the second pair of sides adjacent to the right angles (e.g., QS ≅ TV) is provided. Thus, SAS congruence cannot be concluded.

Answer:

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