Triangles rqs and ntv have the following characteristics:

• right angles at ∠q and ∠t
• rq ≅ nt

can it be concluded that δrqs ≅ δntv by sas? why or why not?

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

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

In the given triangles RQS and NTV ,RQ ≅ NT and <∠Q ≅ ∠T .We need one more side to be equal to prove the triangles to be congruent.

Among all the options option  c. No, it is necessary to know that another set of corresponding sides is congruent is the right answer.