Question

Determine which postulate or theorem can be used to prove that PQS ~=RQS

Answer 1

The answer is B
SAS
Both triangles have congruent sides with an angle in between. 

Answer 2

The postulate or theorem can be used to prove that PQS ~=RQS is Option (B) SAS.

What are congruent triangles ?

Congruent triangles have both the same shape and the same size. There are total of four axioms from which we can prove that a triangle is congruent or not.

Proving that the given two triangles are congruent -

For the triangles, ΔPQS and ΔRQS we have -

• QS = QS  [Common side]
• ∠PQS = ∠RQS  [Common angle]
• PQ = QR  [Given in the diagram]

Therefore from the SAS axiom of congruency, we can prove that ΔPQS ≅ ΔRQS .

Thus, the postulate or theorem can be used to prove that PQS ~=RQS is Option (B) SAS.

To learn more about congruent triangles, refer -

https://brainly.com/question/2493273

#SPJ2