Is triangle rst is congruent to triangle xyz? if so, name the postulate that applies.

 The correct option is (B) Congruent - SAS.

Step-by-step explanation:  We are given to check whether triangle RST is congruent to the triangle XYZ.

If so, we are to state the postulate.

Given that, in ΔRST and ΔXYZ, we have

RS ≅ XY

ST ≅ YZ

and

∠S ≅ ∠Y.

That is, two sides and the angle between them of ΔRST are congruent to the corresponding two sides and the angle between them of ΔXYZ.

So, by SAS (side-angle-side) postulate, we get

ΔRST ≅ ΔXYZ.

Therefore,

the given triangles are congruent by SAS postulate.

Option (B) is CORRECT.